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Finding the Fourth Proportional to 32,053.34, 48,041.60 and 14,933.14

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Solution

The fourth proportional to 32,053.34, 48,041.60 and 14,933.14 is: 22,381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,053.34 : 48,041.60 = 14,933.14 : x
  2. Step 2: Convert to fraction form
    32,053.34/48,041.60 = 14,933.14/x
  3. Step 3: Cross multiply
    32,053.34x = 48,041.60 × 14,933.14
  4. Step 4: Simplify right side
    32,053.34x = 717,411,743.85
  5. Step 5: Solve for x
    x = 717,411,743.85/32,053.34
  6. Step 6: Final answer
    x = 22,381.81

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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.