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Finding the Fourth Proportional to 32,471.93, 48,710.65 and 11,410.15

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Solution

The fourth proportional to 32,471.93, 48,710.65 and 11,410.15 is: 17,116.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,471.93 : 48,710.65 = 11,410.15 : x
  2. Step 2: Convert to fraction form
    32,471.93/48,710.65 = 11,410.15/x
  3. Step 3: Cross multiply
    32,471.93x = 48,710.65 × 11,410.15
  4. Step 4: Simplify right side
    32,471.93x = 555,795,749.11
  5. Step 5: Solve for x
    x = 555,795,749.11/32,471.93
  6. Step 6: Final answer
    x = 17,116.19

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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.