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Finding the Fourth Proportional to 78,519.00, 108,356.53 and 42,709.23

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Solution

The fourth proportional to 78,519.00, 108,356.53 and 42,709.23 is: 58,938.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,519.00 : 108,356.53 = 42,709.23 : x
  2. Step 2: Convert to fraction form
    78,519.00/108,356.53 = 42,709.23/x
  3. Step 3: Cross multiply
    78,519.00x = 108,356.53 × 42,709.23
  4. Step 4: Simplify right side
    78,519.00x = 4,627,823,526.76
  5. Step 5: Solve for x
    x = 4,627,823,526.76/78,519.00
  6. Step 6: Final answer
    x = 58,938.90

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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.