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Finding the Fourth Proportional to 75,264.80, 112,897.29 and 22,689.32

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Solution

The fourth proportional to 75,264.80, 112,897.29 and 22,689.32 is: 34,034.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,264.80 : 112,897.29 = 22,689.32 : x
  2. Step 2: Convert to fraction form
    75,264.80/112,897.29 = 22,689.32/x
  3. Step 3: Cross multiply
    75,264.80x = 112,897.29 × 22,689.32
  4. Step 4: Simplify right side
    75,264.80x = 2,561,562,739.94
  5. Step 5: Solve for x
    x = 2,561,562,739.94/75,264.80
  6. Step 6: Final answer
    x = 34,034.01

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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.