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Finding the Fourth Proportional to 75,287.52, 112,931.76 and 22,696.80

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Solution

The fourth proportional to 75,287.52, 112,931.76 and 22,696.80 is: 34,045.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,287.52 : 112,931.76 = 22,696.80 : x
  2. Step 2: Convert to fraction form
    75,287.52/112,931.76 = 22,696.80/x
  3. Step 3: Cross multiply
    75,287.52x = 112,931.76 × 22,696.80
  4. Step 4: Simplify right side
    75,287.52x = 2,563,189,570.37
  5. Step 5: Solve for x
    x = 2,563,189,570.37/75,287.52
  6. Step 6: Final answer
    x = 34,045.34

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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.