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Finding the Fourth Proportional to 56,714.92, 78,271.10 and 32,842.01

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Solution

The fourth proportional to 56,714.92, 78,271.10 and 32,842.01 is: 45,324.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,714.92 : 78,271.10 = 32,842.01 : x
  2. Step 2: Convert to fraction form
    56,714.92/78,271.10 = 32,842.01/x
  3. Step 3: Cross multiply
    56,714.92x = 78,271.10 × 32,842.01
  4. Step 4: Simplify right side
    56,714.92x = 2,570,580,248.91
  5. Step 5: Solve for x
    x = 2,570,580,248.91/56,714.92
  6. Step 6: Final answer
    x = 45,324.59

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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.