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Finding the Fourth Proportional to 42,940.71, 64,416.90 and 14,853.22

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Solution

The fourth proportional to 42,940.71, 64,416.90 and 14,853.22 is: 22,281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,940.71 : 64,416.90 = 14,853.22 : x
  2. Step 2: Convert to fraction form
    42,940.71/64,416.90 = 14,853.22/x
  3. Step 3: Cross multiply
    42,940.71x = 64,416.90 × 14,853.22
  4. Step 4: Simplify right side
    42,940.71x = 956,798,387.42
  5. Step 5: Solve for x
    x = 956,798,387.42/42,940.71
  6. Step 6: Final answer
    x = 22,281.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.