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Finding the Fourth Proportional to 65,043.84, 97,564.35 and 29,983.47

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Solution

The fourth proportional to 65,043.84, 97,564.35 and 29,983.47 is: 44,974.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,043.84 : 97,564.35 = 29,983.47 : x
  2. Step 2: Convert to fraction form
    65,043.84/97,564.35 = 29,983.47/x
  3. Step 3: Cross multiply
    65,043.84x = 97,564.35 × 29,983.47
  4. Step 4: Simplify right side
    65,043.84x = 2,925,317,761.29
  5. Step 5: Solve for x
    x = 2,925,317,761.29/65,043.84
  6. Step 6: Final answer
    x = 44,974.56

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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.