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Finding the Fourth Proportional to 61,302.74, 84,606.93 and 37,443.14

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Solution

The fourth proportional to 61,302.74, 84,606.93 and 37,443.14 is: 51,677.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,302.74 : 84,606.93 = 37,443.14 : x
  2. Step 2: Convert to fraction form
    61,302.74/84,606.93 = 37,443.14/x
  3. Step 3: Cross multiply
    61,302.74x = 84,606.93 × 37,443.14
  4. Step 4: Simplify right side
    61,302.74x = 3,167,949,124.96
  5. Step 5: Solve for x
    x = 3,167,949,124.96/61,302.74
  6. Step 6: Final answer
    x = 51,677.12

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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.