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Finding the Fourth Proportional to 83,055.72, 114,599.28 and 52,830

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Solution

The fourth proportional to 83,055.72, 114,599.28 and 52,830 is: 72,894.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,055.72 : 114,599.28 = 52,830 : x
  2. Step 2: Convert to fraction form
    83,055.72/114,599.28 = 52,830/x
  3. Step 3: Cross multiply
    83,055.72x = 114,599.28 × 52,830
  4. Step 4: Simplify right side
    83,055.72x = 6,054,279,962.40
  5. Step 5: Solve for x
    x = 6,054,279,962.40/83,055.72
  6. Step 6: Final answer
    x = 72,894.20

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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.