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Finding the Fourth Proportional to 70,983.88, 106,472.16 and 21,064.40

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Solution

The fourth proportional to 70,983.88, 106,472.16 and 21,064.40 is: 31,595.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,983.88 : 106,472.16 = 21,064.40 : x
  2. Step 2: Convert to fraction form
    70,983.88/106,472.16 = 21,064.40/x
  3. Step 3: Cross multiply
    70,983.88x = 106,472.16 × 21,064.40
  4. Step 4: Simplify right side
    70,983.88x = 2,242,772,167.10
  5. Step 5: Solve for x
    x = 2,242,772,167.10/70,983.88
  6. Step 6: Final answer
    x = 31,595.51

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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.