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Finding the Fourth Proportional to 100,584, 150,646.37 and 48,030.39

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Solution

The fourth proportional to 100,584, 150,646.37 and 48,030.39 is: 71,935.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,584 : 150,646.37 = 48,030.39 : x
  2. Step 2: Convert to fraction form
    100,584/150,646.37 = 48,030.39/x
  3. Step 3: Cross multiply
    100,584x = 150,646.37 × 48,030.39
  4. Step 4: Simplify right side
    100,584x = 7,235,603,663.03
  5. Step 5: Solve for x
    x = 7,235,603,663.03/100,584
  6. Step 6: Final answer
    x = 71,935.93

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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.