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Finding the Fourth Proportional to 102,532.82, 153,798.30 and 32,412.15

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Solution

The fourth proportional to 102,532.82, 153,798.30 and 32,412.15 is: 48,617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,532.82 : 153,798.30 = 32,412.15 : x
  2. Step 2: Convert to fraction form
    102,532.82/153,798.30 = 32,412.15/x
  3. Step 3: Cross multiply
    102,532.82x = 153,798.30 × 32,412.15
  4. Step 4: Simplify right side
    102,532.82x = 4,984,933,569.35
  5. Step 5: Solve for x
    x = 4,984,933,569.35/102,532.82
  6. Step 6: Final answer
    x = 48,617.93

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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.