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Finding the Fourth Proportional to 32,073.98, 48,081.80 and 14,534.24

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Solution

The fourth proportional to 32,073.98, 48,081.80 and 14,534.24 is: 21,788.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,073.98 : 48,081.80 = 14,534.24 : x
  2. Step 2: Convert to fraction form
    32,073.98/48,081.80 = 14,534.24/x
  3. Step 3: Cross multiply
    32,073.98x = 48,081.80 × 14,534.24
  4. Step 4: Simplify right side
    32,073.98x = 698,832,216.76
  5. Step 5: Solve for x
    x = 698,832,216.76/32,073.98
  6. Step 6: Final answer
    x = 21,788.14

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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.