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Finding the Fourth Proportional to 42,097.61, 58,094.42 and 23,234.73

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Solution

The fourth proportional to 42,097.61, 58,094.42 and 23,234.73 is: 32,063.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,097.61 : 58,094.42 = 23,234.73 : x
  2. Step 2: Convert to fraction form
    42,097.61/58,094.42 = 23,234.73/x
  3. Step 3: Cross multiply
    42,097.61x = 58,094.42 × 23,234.73
  4. Step 4: Simplify right side
    42,097.61x = 1,349,808,047.03
  5. Step 5: Solve for x
    x = 1,349,808,047.03/42,097.61
  6. Step 6: Final answer
    x = 32,063.77

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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.