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Finding the Fourth Proportional to 78,343, 108,113.22 and 42,532.76

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Solution

The fourth proportional to 78,343, 108,113.22 and 42,532.76 is: 58,695.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,343 : 108,113.22 = 42,532.76 : x
  2. Step 2: Convert to fraction form
    78,343/108,113.22 = 42,532.76/x
  3. Step 3: Cross multiply
    78,343x = 108,113.22 × 42,532.76
  4. Step 4: Simplify right side
    78,343x = 4,598,353,639.09
  5. Step 5: Solve for x
    x = 4,598,353,639.09/78,343
  6. Step 6: Final answer
    x = 58,695.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.