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Finding the Fourth Proportional to 74,515.68, 102,823.02 and 42,682.68

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Solution

The fourth proportional to 74,515.68, 102,823.02 and 42,682.68 is: 58,897.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,515.68 : 102,823.02 = 42,682.68 : x
  2. Step 2: Convert to fraction form
    74,515.68/102,823.02 = 42,682.68/x
  3. Step 3: Cross multiply
    74,515.68x = 102,823.02 × 42,682.68
  4. Step 4: Simplify right side
    74,515.68x = 4,388,762,059.29
  5. Step 5: Solve for x
    x = 4,388,762,059.29/74,515.68
  6. Step 6: Final answer
    x = 58,897.16

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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.