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Finding the Fourth Proportional to 42,169, 58,193.76 and 23,307.88

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Solution

The fourth proportional to 42,169, 58,193.76 and 23,307.88 is: 32,165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,169 : 58,193.76 = 23,307.88 : x
  2. Step 2: Convert to fraction form
    42,169/58,193.76 = 23,307.88/x
  3. Step 3: Cross multiply
    42,169x = 58,193.76 × 23,307.88
  4. Step 4: Simplify right side
    42,169x = 1,356,373,174.83
  5. Step 5: Solve for x
    x = 1,356,373,174.83/42,169
  6. Step 6: Final answer
    x = 32,165.17

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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.