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Finding the Fourth Proportional to 56,897.32, 85,356.98 and 21,834.24

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Solution

The fourth proportional to 56,897.32, 85,356.98 and 21,834.24 is: 32,755.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,897.32 : 85,356.98 = 21,834.24 : x
  2. Step 2: Convert to fraction form
    56,897.32/85,356.98 = 21,834.24/x
  3. Step 3: Cross multiply
    56,897.32x = 85,356.98 × 21,834.24
  4. Step 4: Simplify right side
    56,897.32x = 1,863,704,787.00
  5. Step 5: Solve for x
    x = 1,863,704,787.00/56,897.32
  6. Step 6: Final answer
    x = 32,755.58

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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.