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Finding the Fourth Proportional to 94,756.78, 130,759.68 and 54,442

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Solution

The fourth proportional to 94,756.78, 130,759.68 and 54,442 is: 75,127.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,756.78 : 130,759.68 = 54,442 : x
  2. Step 2: Convert to fraction form
    94,756.78/130,759.68 = 54,442/x
  3. Step 3: Cross multiply
    94,756.78x = 130,759.68 × 54,442
  4. Step 4: Simplify right side
    94,756.78x = 7,118,818,498.56
  5. Step 5: Solve for x
    x = 7,118,818,498.56/94,756.78
  6. Step 6: Final answer
    x = 75,127.27

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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.