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Finding the Fourth Proportional to 47,084.16, 70,627.02 and 12,024.12

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Solution

The fourth proportional to 47,084.16, 70,627.02 and 12,024.12 is: 18,036.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,084.16 : 70,627.02 = 12,024.12 : x
  2. Step 2: Convert to fraction form
    47,084.16/70,627.02 = 12,024.12/x
  3. Step 3: Cross multiply
    47,084.16x = 70,627.02 × 12,024.12
  4. Step 4: Simplify right side
    47,084.16x = 849,227,763.72
  5. Step 5: Solve for x
    x = 849,227,763.72/47,084.16
  6. Step 6: Final answer
    x = 18,036.38

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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.