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Finding the Fourth Proportional to 61,159.94, 84,395.73 and 34,298.78

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Solution

The fourth proportional to 61,159.94, 84,395.73 and 34,298.78 is: 47,329.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,159.94 : 84,395.73 = 34,298.78 : x
  2. Step 2: Convert to fraction form
    61,159.94/84,395.73 = 34,298.78/x
  3. Step 3: Cross multiply
    61,159.94x = 84,395.73 × 34,298.78
  4. Step 4: Simplify right side
    61,159.94x = 2,894,670,576.21
  5. Step 5: Solve for x
    x = 2,894,670,576.21/61,159.94
  6. Step 6: Final answer
    x = 47,329.52

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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.