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Finding the Fourth Proportional to 75,263.84, 112,825.12 and 25,309

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Solution

The fourth proportional to 75,263.84, 112,825.12 and 25,309 is: 37,939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,263.84 : 112,825.12 = 25,309 : x
  2. Step 2: Convert to fraction form
    75,263.84/112,825.12 = 25,309/x
  3. Step 3: Cross multiply
    75,263.84x = 112,825.12 × 25,309
  4. Step 4: Simplify right side
    75,263.84x = 2,855,490,962.08
  5. Step 5: Solve for x
    x = 2,855,490,962.08/75,263.84
  6. Step 6: Final answer
    x = 37,939.75

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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.