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Finding the Fourth Proportional to 90,714.60, 125,102.40 and 56,712.24

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Solution

The fourth proportional to 90,714.60, 125,102.40 and 56,712.24 is: 78,210.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,714.60 : 125,102.40 = 56,712.24 : x
  2. Step 2: Convert to fraction form
    90,714.60/125,102.40 = 56,712.24/x
  3. Step 3: Cross multiply
    90,714.60x = 125,102.40 × 56,712.24
  4. Step 4: Simplify right side
    90,714.60x = 7,094,837,333.38
  5. Step 5: Solve for x
    x = 7,094,837,333.38/90,714.60
  6. Step 6: Final answer
    x = 78,210.53

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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.