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Finding the Fourth Proportional to 47,801.72, 65,966.42 and 26,580.53

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Solution

The fourth proportional to 47,801.72, 65,966.42 and 26,580.53 is: 36,681.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,801.72 : 65,966.42 = 26,580.53 : x
  2. Step 2: Convert to fraction form
    47,801.72/65,966.42 = 26,580.53/x
  3. Step 3: Cross multiply
    47,801.72x = 65,966.42 × 26,580.53
  4. Step 4: Simplify right side
    47,801.72x = 1,753,422,075.97
  5. Step 5: Solve for x
    x = 1,753,422,075.97/47,801.72
  6. Step 6: Final answer
    x = 36,681.15

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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.