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Finding the Fourth Proportional to 51,117.00, 70,543.03 and 27,834.98

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Solution

The fourth proportional to 51,117.00, 70,543.03 and 27,834.98 is: 38,413.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,117.00 : 70,543.03 = 27,834.98 : x
  2. Step 2: Convert to fraction form
    51,117.00/70,543.03 = 27,834.98/x
  3. Step 3: Cross multiply
    51,117.00x = 70,543.03 × 27,834.98
  4. Step 4: Simplify right side
    51,117.00x = 1,963,563,380.79
  5. Step 5: Solve for x
    x = 1,963,563,380.79/51,117.00
  6. Step 6: Final answer
    x = 38,413.12

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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.