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Finding the Fourth Proportional to 84,342.66, 116,389.42 and 48,533.95

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Solution

The fourth proportional to 84,342.66, 116,389.42 and 48,533.95 is: 66,974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,342.66 : 116,389.42 = 48,533.95 : x
  2. Step 2: Convert to fraction form
    84,342.66/116,389.42 = 48,533.95/x
  3. Step 3: Cross multiply
    84,342.66x = 116,389.42 × 48,533.95
  4. Step 4: Simplify right side
    84,342.66x = 5,648,838,290.81
  5. Step 5: Solve for x
    x = 5,648,838,290.81/84,342.66
  6. Step 6: Final answer
    x = 66,974.87

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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.