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Finding the Fourth Proportional to 42,264, 63,385.73 and 14,176.77

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Solution

The fourth proportional to 42,264, 63,385.73 and 14,176.77 is: 21,261.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,264 : 63,385.73 = 14,176.77 : x
  2. Step 2: Convert to fraction form
    42,264/63,385.73 = 14,176.77/x
  3. Step 3: Cross multiply
    42,264x = 63,385.73 × 14,176.77
  4. Step 4: Simplify right side
    42,264x = 898,604,844.61
  5. Step 5: Solve for x
    x = 898,604,844.61/42,264
  6. Step 6: Final answer
    x = 21,261.71

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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.