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Finding the Fourth Proportional to 32,462.16, 48,673.80 and 13,739.28

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Solution

The fourth proportional to 32,462.16, 48,673.80 and 13,739.28 is: 20,600.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,462.16 : 48,673.80 = 13,739.28 : x
  2. Step 2: Convert to fraction form
    32,462.16/48,673.80 = 13,739.28/x
  3. Step 3: Cross multiply
    32,462.16x = 48,673.80 × 13,739.28
  4. Step 4: Simplify right side
    32,462.16x = 668,742,966.86
  5. Step 5: Solve for x
    x = 668,742,966.86/32,462.16
  6. Step 6: Final answer
    x = 20,600.69

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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.