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Finding the Fourth Proportional to 84,043.23, 115,978.17 and 45,803.13

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Solution

The fourth proportional to 84,043.23, 115,978.17 and 45,803.13 is: 63,207.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,043.23 : 115,978.17 = 45,803.13 : x
  2. Step 2: Convert to fraction form
    84,043.23/115,978.17 = 45,803.13/x
  3. Step 3: Cross multiply
    84,043.23x = 115,978.17 × 45,803.13
  4. Step 4: Simplify right side
    84,043.23x = 5,312,163,197.67
  5. Step 5: Solve for x
    x = 5,312,163,197.67/84,043.23
  6. Step 6: Final answer
    x = 63,207.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.