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Finding the Fourth Proportional to 32,034.68, 48,058.77 and 12,044.30

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Solution

The fourth proportional to 32,034.68, 48,058.77 and 12,044.30 is: 18,068.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,034.68 : 48,058.77 = 12,044.30 : x
  2. Step 2: Convert to fraction form
    32,034.68/48,058.77 = 12,044.30/x
  3. Step 3: Cross multiply
    32,034.68x = 48,058.77 × 12,044.30
  4. Step 4: Simplify right side
    32,034.68x = 578,834,243.51
  5. Step 5: Solve for x
    x = 578,834,243.51/32,034.68
  6. Step 6: Final answer
    x = 18,068.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.