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Finding the Fourth Proportional to 73,258.50, 109,888.29 and 17,854.50

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Solution

The fourth proportional to 73,258.50, 109,888.29 and 17,854.50 is: 26,781.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,258.50 : 109,888.29 = 17,854.50 : x
  2. Step 2: Convert to fraction form
    73,258.50/109,888.29 = 17,854.50/x
  3. Step 3: Cross multiply
    73,258.50x = 109,888.29 × 17,854.50
  4. Step 4: Simplify right side
    73,258.50x = 1,962,000,473.81
  5. Step 5: Solve for x
    x = 1,962,000,473.81/73,258.50
  6. Step 6: Final answer
    x = 26,781.88

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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.