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Finding the Fourth Proportional to 47,902.61, 66,107.66 and 26,681.90

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Solution

The fourth proportional to 47,902.61, 66,107.66 and 26,681.90 is: 36,822.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,902.61 : 66,107.66 = 26,681.90 : x
  2. Step 2: Convert to fraction form
    47,902.61/66,107.66 = 26,681.90/x
  3. Step 3: Cross multiply
    47,902.61x = 66,107.66 × 26,681.90
  4. Step 4: Simplify right side
    47,902.61x = 1,763,877,509.41
  5. Step 5: Solve for x
    x = 1,763,877,509.41/47,902.61
  6. Step 6: Final answer
    x = 36,822.16

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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.