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Finding the Fourth Proportional to 42,415.38, 63,612.56 and 14,334.80

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Solution

The fourth proportional to 42,415.38, 63,612.56 and 14,334.80 is: 21,498.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,415.38 : 63,612.56 = 14,334.80 : x
  2. Step 2: Convert to fraction form
    42,415.38/63,612.56 = 14,334.80/x
  3. Step 3: Cross multiply
    42,415.38x = 63,612.56 × 14,334.80
  4. Step 4: Simplify right side
    42,415.38x = 911,872,935.35
  5. Step 5: Solve for x
    x = 911,872,935.35/42,415.38
  6. Step 6: Final answer
    x = 21,498.64

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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.