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Finding the Fourth Proportional to 42,097.01, 58,093.76 and 23,234

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Solution

The fourth proportional to 42,097.01, 58,093.76 and 23,234 is: 32,062.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,097.01 : 58,093.76 = 23,234 : x
  2. Step 2: Convert to fraction form
    42,097.01/58,093.76 = 23,234/x
  3. Step 3: Cross multiply
    42,097.01x = 58,093.76 × 23,234
  4. Step 4: Simplify right side
    42,097.01x = 1,349,750,303.67
  5. Step 5: Solve for x
    x = 1,349,750,303.67/42,097.01
  6. Step 6: Final answer
    x = 32,062.85

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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.