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Finding the Fourth Proportional to 32,045.90, 48,068.96 and 9,859.11

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Solution

The fourth proportional to 32,045.90, 48,068.96 and 9,859.11 is: 14,788.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,045.90 : 48,068.96 = 9,859.11 : x
  2. Step 2: Convert to fraction form
    32,045.90/48,068.96 = 9,859.11/x
  3. Step 3: Cross multiply
    32,045.90x = 48,068.96 × 9,859.11
  4. Step 4: Simplify right side
    32,045.90x = 473,917,114.93
  5. Step 5: Solve for x
    x = 473,917,114.93/32,045.90
  6. Step 6: Final answer
    x = 14,788.70

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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.