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Finding the Fourth Proportional to 32,277.64, 44,545 and 18,129.36

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Solution

The fourth proportional to 32,277.64, 44,545 and 18,129.36 is: 25,019.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,277.64 : 44,545 = 18,129.36 : x
  2. Step 2: Convert to fraction form
    32,277.64/44,545 = 18,129.36/x
  3. Step 3: Cross multiply
    32,277.64x = 44,545 × 18,129.36
  4. Step 4: Simplify right side
    32,277.64x = 807,572,341.20
  5. Step 5: Solve for x
    x = 807,572,341.20/32,277.64
  6. Step 6: Final answer
    x = 25,019.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.