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Finding the Fourth Proportional to 73,215.60, 109,828.80 and 26,462.40

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Solution

The fourth proportional to 73,215.60, 109,828.80 and 26,462.40 is: 39,695.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,215.60 : 109,828.80 = 26,462.40 : x
  2. Step 2: Convert to fraction form
    73,215.60/109,828.80 = 26,462.40/x
  3. Step 3: Cross multiply
    73,215.60x = 109,828.80 × 26,462.40
  4. Step 4: Simplify right side
    73,215.60x = 2,906,333,637.12
  5. Step 5: Solve for x
    x = 2,906,333,637.12/73,215.60
  6. Step 6: Final answer
    x = 39,695.55

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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.