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Finding the Fourth Proportional to 76,432, 114,587.70 and 48,292.74

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Solution

The fourth proportional to 76,432, 114,587.70 and 48,292.74 is: 72,401.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,432 : 114,587.70 = 48,292.74 : x
  2. Step 2: Convert to fraction form
    76,432/114,587.70 = 48,292.74/x
  3. Step 3: Cross multiply
    76,432x = 114,587.70 × 48,292.74
  4. Step 4: Simplify right side
    76,432x = 5,533,754,003.30
  5. Step 5: Solve for x
    x = 5,533,754,003.30/76,432
  6. Step 6: Final answer
    x = 72,401.01

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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.