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Finding the Fourth Proportional to 102,174.60, 153,287.84 and 32,054.52

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Solution

The fourth proportional to 102,174.60, 153,287.84 and 32,054.52 is: 48,089.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,174.60 : 153,287.84 = 32,054.52 : x
  2. Step 2: Convert to fraction form
    102,174.60/153,287.84 = 32,054.52/x
  3. Step 3: Cross multiply
    102,174.60x = 153,287.84 × 32,054.52
  4. Step 4: Simplify right side
    102,174.60x = 4,913,568,133.04
  5. Step 5: Solve for x
    x = 4,913,568,133.04/102,174.60
  6. Step 6: Final answer
    x = 48,089.92

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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.