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Finding the Fourth Proportional to 74,068.38, 102,222.14 and 45,407.25

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Solution

The fourth proportional to 74,068.38, 102,222.14 and 45,407.25 is: 62,666.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,068.38 : 102,222.14 = 45,407.25 : x
  2. Step 2: Convert to fraction form
    74,068.38/102,222.14 = 45,407.25/x
  3. Step 3: Cross multiply
    74,068.38x = 102,222.14 × 45,407.25
  4. Step 4: Simplify right side
    74,068.38x = 4,641,626,039.48
  5. Step 5: Solve for x
    x = 4,641,626,039.48/74,068.38
  6. Step 6: Final answer
    x = 62,666.77

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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.