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Finding the Fourth Proportional to 32,061.75, 48,097.79 and 9,875.12

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Solution

The fourth proportional to 32,061.75, 48,097.79 and 9,875.12 is: 14,814.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,061.75 : 48,097.79 = 9,875.12 : x
  2. Step 2: Convert to fraction form
    32,061.75/48,097.79 = 9,875.12/x
  3. Step 3: Cross multiply
    32,061.75x = 48,097.79 × 9,875.12
  4. Step 4: Simplify right side
    32,061.75x = 474,971,222.93
  5. Step 5: Solve for x
    x = 474,971,222.93/32,061.75
  6. Step 6: Final answer
    x = 14,814.26

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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.