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Finding the Fourth Proportional to 85,946.38, 118,603.78 and 47,703.95

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Solution

The fourth proportional to 85,946.38, 118,603.78 and 47,703.95 is: 65,830.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,946.38 : 118,603.78 = 47,703.95 : x
  2. Step 2: Convert to fraction form
    85,946.38/118,603.78 = 47,703.95/x
  3. Step 3: Cross multiply
    85,946.38x = 118,603.78 × 47,703.95
  4. Step 4: Simplify right side
    85,946.38x = 5,657,868,523.42
  5. Step 5: Solve for x
    x = 5,657,868,523.42/85,946.38
  6. Step 6: Final answer
    x = 65,830.22

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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.