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Finding the Fourth Proportional to 52,088.40, 71,881.98 and 28,215.06

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Solution

The fourth proportional to 52,088.40, 71,881.98 and 28,215.06 is: 38,936.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,088.40 : 71,881.98 = 28,215.06 : x
  2. Step 2: Convert to fraction form
    52,088.40/71,881.98 = 28,215.06/x
  3. Step 3: Cross multiply
    52,088.40x = 71,881.98 × 28,215.06
  4. Step 4: Simplify right side
    52,088.40x = 2,028,154,378.62
  5. Step 5: Solve for x
    x = 2,028,154,378.62/52,088.40
  6. Step 6: Final answer
    x = 38,936.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.