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Finding the Fourth Proportional to 47,607.84, 65,698.72 and 26,387.20

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Solution

The fourth proportional to 47,607.84, 65,698.72 and 26,387.20 is: 36,414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,607.84 : 65,698.72 = 26,387.20 : x
  2. Step 2: Convert to fraction form
    47,607.84/65,698.72 = 26,387.20/x
  3. Step 3: Cross multiply
    47,607.84x = 65,698.72 × 26,387.20
  4. Step 4: Simplify right side
    47,607.84x = 1,733,605,264.38
  5. Step 5: Solve for x
    x = 1,733,605,264.38/47,607.84
  6. Step 6: Final answer
    x = 36,414.28

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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.