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Finding the Fourth Proportional to 47,282, 65,248.36 and 26,060.84

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Solution

The fourth proportional to 47,282, 65,248.36 and 26,060.84 is: 35,963.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,282 : 65,248.36 = 26,060.84 : x
  2. Step 2: Convert to fraction form
    47,282/65,248.36 = 26,060.84/x
  3. Step 3: Cross multiply
    47,282x = 65,248.36 × 26,060.84
  4. Step 4: Simplify right side
    47,282x = 1,700,427,070.22
  5. Step 5: Solve for x
    x = 1,700,427,070.22/47,282
  6. Step 6: Final answer
    x = 35,963.52

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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.