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Finding the Fourth Proportional to 83,771.70, 115,603.65 and 46,045.14

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Solution

The fourth proportional to 83,771.70, 115,603.65 and 46,045.14 is: 63,541.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,771.70 : 115,603.65 = 46,045.14 : x
  2. Step 2: Convert to fraction form
    83,771.70/115,603.65 = 46,045.14/x
  3. Step 3: Cross multiply
    83,771.70x = 115,603.65 × 46,045.14
  4. Step 4: Simplify right side
    83,771.70x = 5,322,986,248.76
  5. Step 5: Solve for x
    x = 5,322,986,248.76/83,771.70
  6. Step 6: Final answer
    x = 63,541.58

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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.