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Finding the Fourth Proportional to 102,327.88, 153,498.68 and 34,832.40

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Solution

The fourth proportional to 102,327.88, 153,498.68 and 34,832.40 is: 52,250.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,327.88 : 153,498.68 = 34,832.40 : x
  2. Step 2: Convert to fraction form
    102,327.88/153,498.68 = 34,832.40/x
  3. Step 3: Cross multiply
    102,327.88x = 153,498.68 × 34,832.40
  4. Step 4: Simplify right side
    102,327.88x = 5,346,727,421.23
  5. Step 5: Solve for x
    x = 5,346,727,421.23/102,327.88
  6. Step 6: Final answer
    x = 52,250.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.