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Finding the Fourth Proportional to 42,541, 63,840.72 and 14,839

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Solution

The fourth proportional to 42,541, 63,840.72 and 14,839 is: 22,268.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,541 : 63,840.72 = 14,839 : x
  2. Step 2: Convert to fraction form
    42,541/63,840.72 = 14,839/x
  3. Step 3: Cross multiply
    42,541x = 63,840.72 × 14,839
  4. Step 4: Simplify right side
    42,541x = 947,332,444.08
  5. Step 5: Solve for x
    x = 947,332,444.08/42,541
  6. Step 6: Final answer
    x = 22,268.69

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Why These Related Problems?

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