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Finding the Fourth Proportional to 32,583.84, 48,883.05 and 10,398.48

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Solution

The fourth proportional to 32,583.84, 48,883.05 and 10,398.48 is: 15,600.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,583.84 : 48,883.05 = 10,398.48 : x
  2. Step 2: Convert to fraction form
    32,583.84/48,883.05 = 10,398.48/x
  3. Step 3: Cross multiply
    32,583.84x = 48,883.05 × 10,398.48
  4. Step 4: Simplify right side
    32,583.84x = 508,309,417.76
  5. Step 5: Solve for x
    x = 508,309,417.76/32,583.84
  6. Step 6: Final answer
    x = 15,600.05

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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.