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Finding the Fourth Proportional to 100,646.40, 150,971.76 and 36,602.40

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Solution

The fourth proportional to 100,646.40, 150,971.76 and 36,602.40 is: 54,904.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,646.40 : 150,971.76 = 36,602.40 : x
  2. Step 2: Convert to fraction form
    100,646.40/150,971.76 = 36,602.40/x
  3. Step 3: Cross multiply
    100,646.40x = 150,971.76 × 36,602.40
  4. Step 4: Simplify right side
    100,646.40x = 5,525,928,748.22
  5. Step 5: Solve for x
    x = 5,525,928,748.22/100,646.40
  6. Step 6: Final answer
    x = 54,904.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.