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Finding the Fourth Proportional to 78,320.42, 108,082.38 and 42,510.43

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Solution

The fourth proportional to 78,320.42, 108,082.38 and 42,510.43 is: 58,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,320.42 : 108,082.38 = 42,510.43 : x
  2. Step 2: Convert to fraction form
    78,320.42/108,082.38 = 42,510.43/x
  3. Step 3: Cross multiply
    78,320.42x = 108,082.38 × 42,510.43
  4. Step 4: Simplify right side
    78,320.42x = 4,594,628,449.22
  5. Step 5: Solve for x
    x = 4,594,628,449.22/78,320.42
  6. Step 6: Final answer
    x = 58,664.50

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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.