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Finding the Fourth Proportional to 71,054.02, 106,581.04 and 21,134.84

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Solution

The fourth proportional to 71,054.02, 106,581.04 and 21,134.84 is: 31,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,054.02 : 106,581.04 = 21,134.84 : x
  2. Step 2: Convert to fraction form
    71,054.02/106,581.04 = 21,134.84/x
  3. Step 3: Cross multiply
    71,054.02x = 106,581.04 × 21,134.84
  4. Step 4: Simplify right side
    71,054.02x = 2,252,572,641.69
  5. Step 5: Solve for x
    x = 2,252,572,641.69/71,054.02
  6. Step 6: Final answer
    x = 31,702.25

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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.