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Finding the Fourth Proportional to 42,321, 58,402.98 and 23,461

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Solution

The fourth proportional to 42,321, 58,402.98 and 23,461 is: 32,376.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,321 : 58,402.98 = 23,461 : x
  2. Step 2: Convert to fraction form
    42,321/58,402.98 = 23,461/x
  3. Step 3: Cross multiply
    42,321x = 58,402.98 × 23,461
  4. Step 4: Simplify right side
    42,321x = 1,370,192,313.78
  5. Step 5: Solve for x
    x = 1,370,192,313.78/42,321
  6. Step 6: Final answer
    x = 32,376.18

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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.