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Finding the Fourth Proportional to 32,044.64, 48,072.42 and 9,857.53

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Solution

The fourth proportional to 32,044.64, 48,072.42 and 9,857.53 is: 14,787.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,044.64 : 48,072.42 = 9,857.53 : x
  2. Step 2: Convert to fraction form
    32,044.64/48,072.42 = 9,857.53/x
  3. Step 3: Cross multiply
    32,044.64x = 48,072.42 × 9,857.53
  4. Step 4: Simplify right side
    32,044.64x = 473,875,322.32
  5. Step 5: Solve for x
    x = 473,875,322.32/32,044.64
  6. Step 6: Final answer
    x = 14,787.97

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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.