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Finding the Fourth Proportional to 84,503.74, 116,480.38 and 57,271.34

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Solution

The fourth proportional to 84,503.74, 116,480.38 and 57,271.34 is: 78,943.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,503.74 : 116,480.38 = 57,271.34 : x
  2. Step 2: Convert to fraction form
    84,503.74/116,480.38 = 57,271.34/x
  3. Step 3: Cross multiply
    84,503.74x = 116,480.38 × 57,271.34
  4. Step 4: Simplify right side
    84,503.74x = 6,670,987,155.11
  5. Step 5: Solve for x
    x = 6,670,987,155.11/84,503.74
  6. Step 6: Final answer
    x = 78,943.10

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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.