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Finding the Fourth Proportional to 56,573.87, 78,085.98 and 32,714.38

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Solution

The fourth proportional to 56,573.87, 78,085.98 and 32,714.38 is: 45,153.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,573.87 : 78,085.98 = 32,714.38 : x
  2. Step 2: Convert to fraction form
    56,573.87/78,085.98 = 32,714.38/x
  3. Step 3: Cross multiply
    56,573.87x = 78,085.98 × 32,714.38
  4. Step 4: Simplify right side
    56,573.87x = 2,554,533,868.39
  5. Step 5: Solve for x
    x = 2,554,533,868.39/56,573.87
  6. Step 6: Final answer
    x = 45,153.95

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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.