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Finding the Fourth Proportional to 74,938.48, 103,412.02 and 40,948.13

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Solution

The fourth proportional to 74,938.48, 103,412.02 and 40,948.13 is: 56,506.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,938.48 : 103,412.02 = 40,948.13 : x
  2. Step 2: Convert to fraction form
    74,938.48/103,412.02 = 40,948.13/x
  3. Step 3: Cross multiply
    74,938.48x = 103,412.02 × 40,948.13
  4. Step 4: Simplify right side
    74,938.48x = 4,234,528,838.52
  5. Step 5: Solve for x
    x = 4,234,528,838.52/74,938.48
  6. Step 6: Final answer
    x = 56,506.74

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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.