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Finding the Fourth Proportional to 116,053.74, 174,098.61 and 49,494

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Solution

The fourth proportional to 116,053.74, 174,098.61 and 49,494 is: 74,248.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,053.74 : 174,098.61 = 49,494 : x
  2. Step 2: Convert to fraction form
    116,053.74/174,098.61 = 49,494/x
  3. Step 3: Cross multiply
    116,053.74x = 174,098.61 × 49,494
  4. Step 4: Simplify right side
    116,053.74x = 8,616,836,603.34
  5. Step 5: Solve for x
    x = 8,616,836,603.34/116,053.74
  6. Step 6: Final answer
    x = 74,248.68

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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.