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Finding the Fourth Proportional to 32,160.70, 48,182.64 and 31,460.86

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Solution

The fourth proportional to 32,160.70, 48,182.64 and 31,460.86 is: 47,134.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,160.70 : 48,182.64 = 31,460.86 : x
  2. Step 2: Convert to fraction form
    32,160.70/48,182.64 = 31,460.86/x
  3. Step 3: Cross multiply
    32,160.70x = 48,182.64 × 31,460.86
  4. Step 4: Simplify right side
    32,160.70x = 1,515,867,291.47
  5. Step 5: Solve for x
    x = 1,515,867,291.47/32,160.70
  6. Step 6: Final answer
    x = 47,134.15

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1.5x scale

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.