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Finding the Fourth Proportional to 42,189.82, 58,223.16 and 23,328.16

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Solution

The fourth proportional to 42,189.82, 58,223.16 and 23,328.16 is: 32,193.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,189.82 : 58,223.16 = 23,328.16 : x
  2. Step 2: Convert to fraction form
    42,189.82/58,223.16 = 23,328.16/x
  3. Step 3: Cross multiply
    42,189.82x = 58,223.16 × 23,328.16
  4. Step 4: Simplify right side
    42,189.82x = 1,358,238,901.07
  5. Step 5: Solve for x
    x = 1,358,238,901.07/42,189.82
  6. Step 6: Final answer
    x = 32,193.53

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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.