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Finding the Fourth Proportional to 32,053.84, 48,080.76 and 30,347.92

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Solution

The fourth proportional to 32,053.84, 48,080.76 and 30,347.92 is: 45,521.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,053.84 : 48,080.76 = 30,347.92 : x
  2. Step 2: Convert to fraction form
    32,053.84/48,080.76 = 30,347.92/x
  3. Step 3: Cross multiply
    32,053.84x = 48,080.76 × 30,347.92
  4. Step 4: Simplify right side
    32,053.84x = 1,459,151,058.02
  5. Step 5: Solve for x
    x = 1,459,151,058.02/32,053.84
  6. Step 6: Final answer
    x = 45,521.88

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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.