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Finding the Fourth Proportional to 51,117.38, 70,543.55 and 27,835.35

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Solution

The fourth proportional to 51,117.38, 70,543.55 and 27,835.35 is: 38,413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,117.38 : 70,543.55 = 27,835.35 : x
  2. Step 2: Convert to fraction form
    51,117.38/70,543.55 = 27,835.35/x
  3. Step 3: Cross multiply
    51,117.38x = 70,543.55 × 27,835.35
  4. Step 4: Simplify right side
    51,117.38x = 1,963,604,265.32
  5. Step 5: Solve for x
    x = 1,963,604,265.32/51,117.38
  6. Step 6: Final answer
    x = 38,413.64

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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.