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Finding the Fourth Proportional to 87,213, 130,820.76 and 24,883.50

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Solution

The fourth proportional to 87,213, 130,820.76 and 24,883.50 is: 37,325.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,213 : 130,820.76 = 24,883.50 : x
  2. Step 2: Convert to fraction form
    87,213/130,820.76 = 24,883.50/x
  3. Step 3: Cross multiply
    87,213x = 130,820.76 × 24,883.50
  4. Step 4: Simplify right side
    87,213x = 3,255,278,381.46
  5. Step 5: Solve for x
    x = 3,255,278,381.46/87,213
  6. Step 6: Final answer
    x = 37,325.61

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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.