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Finding the Fourth Proportional to 70,922.02, 106,382.70 and 21,002.40

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Solution

The fourth proportional to 70,922.02, 106,382.70 and 21,002.40 is: 31,503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,922.02 : 106,382.70 = 21,002.40 : x
  2. Step 2: Convert to fraction form
    70,922.02/106,382.70 = 21,002.40/x
  3. Step 3: Cross multiply
    70,922.02x = 106,382.70 × 21,002.40
  4. Step 4: Simplify right side
    70,922.02x = 2,234,292,018.48
  5. Step 5: Solve for x
    x = 2,234,292,018.48/70,922.02
  6. Step 6: Final answer
    x = 31,503.50

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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.