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Finding the Fourth Proportional to 76,419.40, 114,629.10 and 32,031.40

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Solution

The fourth proportional to 76,419.40, 114,629.10 and 32,031.40 is: 48,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,419.40 : 114,629.10 = 32,031.40 : x
  2. Step 2: Convert to fraction form
    76,419.40/114,629.10 = 32,031.40/x
  3. Step 3: Cross multiply
    76,419.40x = 114,629.10 × 32,031.40
  4. Step 4: Simplify right side
    76,419.40x = 3,671,730,553.74
  5. Step 5: Solve for x
    x = 3,671,730,553.74/76,419.40
  6. Step 6: Final answer
    x = 48,047.10

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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.