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Finding the Fourth Proportional to 32,035.93, 48,058.49 and 9,851.17

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Solution

The fourth proportional to 32,035.93, 48,058.49 and 9,851.17 is: 14,778.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,035.93 : 48,058.49 = 9,851.17 : x
  2. Step 2: Convert to fraction form
    32,035.93/48,058.49 = 9,851.17/x
  3. Step 3: Cross multiply
    32,035.93x = 48,058.49 × 9,851.17
  4. Step 4: Simplify right side
    32,035.93x = 473,432,354.93
  5. Step 5: Solve for x
    x = 473,432,354.93/32,035.93
  6. Step 6: Final answer
    x = 14,778.17

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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.