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Finding the Fourth Proportional to 42,549.16, 63,827.97 and 16,276

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Solution

The fourth proportional to 42,549.16, 63,827.97 and 16,276 is: 24,415.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,549.16 : 63,827.97 = 16,276 : x
  2. Step 2: Convert to fraction form
    42,549.16/63,827.97 = 16,276/x
  3. Step 3: Cross multiply
    42,549.16x = 63,827.97 × 16,276
  4. Step 4: Simplify right side
    42,549.16x = 1,038,864,039.72
  5. Step 5: Solve for x
    x = 1,038,864,039.72/42,549.16
  6. Step 6: Final answer
    x = 24,415.62

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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.