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Finding the Fourth Proportional to 76,407.66, 114,656.10 and 32,031

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Solution

The fourth proportional to 76,407.66, 114,656.10 and 32,031 is: 48,065.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,407.66 : 114,656.10 = 32,031 : x
  2. Step 2: Convert to fraction form
    76,407.66/114,656.10 = 32,031/x
  3. Step 3: Cross multiply
    76,407.66x = 114,656.10 × 32,031
  4. Step 4: Simplify right side
    76,407.66x = 3,672,549,539.10
  5. Step 5: Solve for x
    x = 3,672,549,539.10/76,407.66
  6. Step 6: Final answer
    x = 48,065.20

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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.