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Finding the Fourth Proportional to 32,037.80, 48,061.31 and 9,853.04

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Solution

The fourth proportional to 32,037.80, 48,061.31 and 9,853.04 is: 14,780.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,037.80 : 48,061.31 = 9,853.04 : x
  2. Step 2: Convert to fraction form
    32,037.80/48,061.31 = 9,853.04/x
  3. Step 3: Cross multiply
    32,037.80x = 48,061.31 × 9,853.04
  4. Step 4: Simplify right side
    32,037.80x = 473,550,080.77
  5. Step 5: Solve for x
    x = 473,550,080.77/32,037.80
  6. Step 6: Final answer
    x = 14,780.98

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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.