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Finding the Fourth Proportional to 56,841.87, 78,442.16 and 31,349.14

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Solution

The fourth proportional to 56,841.87, 78,442.16 and 31,349.14 is: 43,262.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,841.87 : 78,442.16 = 31,349.14 : x
  2. Step 2: Convert to fraction form
    56,841.87/78,442.16 = 31,349.14/x
  3. Step 3: Cross multiply
    56,841.87x = 78,442.16 × 31,349.14
  4. Step 4: Simplify right side
    56,841.87x = 2,459,094,255.74
  5. Step 5: Solve for x
    x = 2,459,094,255.74/56,841.87
  6. Step 6: Final answer
    x = 43,262.02

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1.5x scale

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.