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Finding the Fourth Proportional to 32,415.38, 48,631.28 and 9,041.81

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Solution

The fourth proportional to 32,415.38, 48,631.28 and 9,041.81 is: 13,565.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,415.38 : 48,631.28 = 9,041.81 : x
  2. Step 2: Convert to fraction form
    32,415.38/48,631.28 = 9,041.81/x
  3. Step 3: Cross multiply
    32,415.38x = 48,631.28 × 9,041.81
  4. Step 4: Simplify right side
    32,415.38x = 439,714,793.82
  5. Step 5: Solve for x
    x = 439,714,793.82/32,415.38
  6. Step 6: Final answer
    x = 13,565.01

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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.