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Finding the Fourth Proportional to 78,315.68, 117,522.90 and 40,943.12

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Solution

The fourth proportional to 78,315.68, 117,522.90 and 40,943.12 is: 61,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,315.68 : 117,522.90 = 40,943.12 : x
  2. Step 2: Convert to fraction form
    78,315.68/117,522.90 = 40,943.12/x
  3. Step 3: Cross multiply
    78,315.68x = 117,522.90 × 40,943.12
  4. Step 4: Simplify right side
    78,315.68x = 4,811,754,197.45
  5. Step 5: Solve for x
    x = 4,811,754,197.45/78,315.68
  6. Step 6: Final answer
    x = 61,440.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.