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Finding the Fourth Proportional to 102,358.36, 153,543.04 and 32,243.16

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Solution

The fourth proportional to 102,358.36, 153,543.04 and 32,243.16 is: 48,366.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,358.36 : 153,543.04 = 32,243.16 : x
  2. Step 2: Convert to fraction form
    102,358.36/153,543.04 = 32,243.16/x
  3. Step 3: Cross multiply
    102,358.36x = 153,543.04 × 32,243.16
  4. Step 4: Simplify right side
    102,358.36x = 4,950,712,805.61
  5. Step 5: Solve for x
    x = 4,950,712,805.61/102,358.36
  6. Step 6: Final answer
    x = 48,366.47

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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.