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Finding the Fourth Proportional to 32,343.69, 48,515.54 and 10,159.01

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Solution

The fourth proportional to 32,343.69, 48,515.54 and 10,159.01 is: 15,238.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,343.69 : 48,515.54 = 10,159.01 : x
  2. Step 2: Convert to fraction form
    32,343.69/48,515.54 = 10,159.01/x
  3. Step 3: Cross multiply
    32,343.69x = 48,515.54 × 10,159.01
  4. Step 4: Simplify right side
    32,343.69x = 492,869,856.02
  5. Step 5: Solve for x
    x = 492,869,856.02/32,343.69
  6. Step 6: Final answer
    x = 15,238.52

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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.