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Finding the Fourth Proportional to 76,407.67, 114,656.10 and 32,031.01

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Solution

The fourth proportional to 76,407.67, 114,656.10 and 32,031.01 is: 48,065.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,407.67 : 114,656.10 = 32,031.01 : x
  2. Step 2: Convert to fraction form
    76,407.67/114,656.10 = 32,031.01/x
  3. Step 3: Cross multiply
    76,407.67x = 114,656.10 × 32,031.01
  4. Step 4: Simplify right side
    76,407.67x = 3,672,550,685.66
  5. Step 5: Solve for x
    x = 3,672,550,685.66/76,407.67
  6. Step 6: Final answer
    x = 48,065.21

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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.