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Finding the Fourth Proportional to 78,509.72, 108,343.94 and 42,700

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Solution

The fourth proportional to 78,509.72, 108,343.94 and 42,700 is: 58,926.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,509.72 : 108,343.94 = 42,700 : x
  2. Step 2: Convert to fraction form
    78,509.72/108,343.94 = 42,700/x
  3. Step 3: Cross multiply
    78,509.72x = 108,343.94 × 42,700
  4. Step 4: Simplify right side
    78,509.72x = 4,626,286,238
  5. Step 5: Solve for x
    x = 4,626,286,238/78,509.72
  6. Step 6: Final answer
    x = 58,926.29

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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.