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Finding the Fourth Proportional to 47,577.84, 65,657.97 and 26,068.17

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Solution

The fourth proportional to 47,577.84, 65,657.97 and 26,068.17 is: 35,974.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,577.84 : 65,657.97 = 26,068.17 : x
  2. Step 2: Convert to fraction form
    47,577.84/65,657.97 = 26,068.17/x
  3. Step 3: Cross multiply
    47,577.84x = 65,657.97 × 26,068.17
  4. Step 4: Simplify right side
    47,577.84x = 1,711,583,123.81
  5. Step 5: Solve for x
    x = 1,711,583,123.81/47,577.84
  6. Step 6: Final answer
    x = 35,974.38

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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.