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Finding the Fourth Proportional to 42,842.66, 59,122.94 and 23,461.49

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Solution

The fourth proportional to 42,842.66, 59,122.94 and 23,461.49 is: 32,376.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,842.66 : 59,122.94 = 23,461.49 : x
  2. Step 2: Convert to fraction form
    42,842.66/59,122.94 = 23,461.49/x
  3. Step 3: Cross multiply
    42,842.66x = 59,122.94 × 23,461.49
  4. Step 4: Simplify right side
    42,842.66x = 1,387,111,852.66
  5. Step 5: Solve for x
    x = 1,387,111,852.66/42,842.66
  6. Step 6: Final answer
    x = 32,376.89

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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.