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Finding the Fourth Proportional to 83,403, 115,096.14 and 53,595

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Solution

The fourth proportional to 83,403, 115,096.14 and 53,595 is: 73,961.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,403 : 115,096.14 = 53,595 : x
  2. Step 2: Convert to fraction form
    83,403/115,096.14 = 53,595/x
  3. Step 3: Cross multiply
    83,403x = 115,096.14 × 53,595
  4. Step 4: Simplify right side
    83,403x = 6,168,577,623.30
  5. Step 5: Solve for x
    x = 6,168,577,623.30/83,403
  6. Step 6: Final answer
    x = 73,961.10

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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.