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Finding the Fourth Proportional to 42,088, 58,082.66 and 23,226.34

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Solution

The fourth proportional to 42,088, 58,082.66 and 23,226.34 is: 32,053.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,088 : 58,082.66 = 23,226.34 : x
  2. Step 2: Convert to fraction form
    42,088/58,082.66 = 23,226.34/x
  3. Step 3: Cross multiply
    42,088x = 58,082.66 × 23,226.34
  4. Step 4: Simplify right side
    42,088x = 1,349,047,609.26
  5. Step 5: Solve for x
    x = 1,349,047,609.26/42,088
  6. Step 6: Final answer
    x = 32,053.02

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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.