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Finding the Fourth Proportional to 75,946.40, 104,806.02 and 42,412.40

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Solution

The fourth proportional to 75,946.40, 104,806.02 and 42,412.40 is: 58,529.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,946.40 : 104,806.02 = 42,412.40 : x
  2. Step 2: Convert to fraction form
    75,946.40/104,806.02 = 42,412.40/x
  3. Step 3: Cross multiply
    75,946.40x = 104,806.02 × 42,412.40
  4. Step 4: Simplify right side
    75,946.40x = 4,445,074,632.12
  5. Step 5: Solve for x
    x = 4,445,074,632.12/75,946.40
  6. Step 6: Final answer
    x = 58,529.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.