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Finding the Fourth Proportional to 75,995.34, 114,041.97 and 40,959.42

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Solution

The fourth proportional to 75,995.34, 114,041.97 and 40,959.42 is: 61,465.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,995.34 : 114,041.97 = 40,959.42 : x
  2. Step 2: Convert to fraction form
    75,995.34/114,041.97 = 40,959.42/x
  3. Step 3: Cross multiply
    75,995.34x = 114,041.97 × 40,959.42
  4. Step 4: Simplify right side
    75,995.34x = 4,671,092,946.86
  5. Step 5: Solve for x
    x = 4,671,092,946.86/75,995.34
  6. Step 6: Final answer
    x = 61,465.52

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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.