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Finding the Fourth Proportional to 32,031.36, 48,019.70 and 22,641.84

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Solution

The fourth proportional to 32,031.36, 48,019.70 and 22,641.84 is: 33,943.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,031.36 : 48,019.70 = 22,641.84 : x
  2. Step 2: Convert to fraction form
    32,031.36/48,019.70 = 22,641.84/x
  3. Step 3: Cross multiply
    32,031.36x = 48,019.70 × 22,641.84
  4. Step 4: Simplify right side
    32,031.36x = 1,087,254,420.85
  5. Step 5: Solve for x
    x = 1,087,254,420.85/32,031.36
  6. Step 6: Final answer
    x = 33,943.44

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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.