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Finding the Fourth Proportional to 55,532.08, 83,326.74 and 30,592

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Solution

The fourth proportional to 55,532.08, 83,326.74 and 30,592 is: 45,903.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,532.08 : 83,326.74 = 30,592 : x
  2. Step 2: Convert to fraction form
    55,532.08/83,326.74 = 30,592/x
  3. Step 3: Cross multiply
    55,532.08x = 83,326.74 × 30,592
  4. Step 4: Simplify right side
    55,532.08x = 2,549,131,630.08
  5. Step 5: Solve for x
    x = 2,549,131,630.08/55,532.08
  6. Step 6: Final answer
    x = 45,903.77

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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.