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Finding the Fourth Proportional to 84,118.40, 116,045.44 and 48,299.52

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Solution

The fourth proportional to 84,118.40, 116,045.44 and 48,299.52 is: 66,631.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,118.40 : 116,045.44 = 48,299.52 : x
  2. Step 2: Convert to fraction form
    84,118.40/116,045.44 = 48,299.52/x
  3. Step 3: Cross multiply
    84,118.40x = 116,045.44 × 48,299.52
  4. Step 4: Simplify right side
    84,118.40x = 5,604,939,050.19
  5. Step 5: Solve for x
    x = 5,604,939,050.19/84,118.40
  6. Step 6: Final answer
    x = 66,631.55

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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.