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Finding the Fourth Proportional to 32,307.57, 48,454.97 and 30,705.49

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Solution

The fourth proportional to 32,307.57, 48,454.97 and 30,705.49 is: 46,052.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,307.57 : 48,454.97 = 30,705.49 : x
  2. Step 2: Convert to fraction form
    32,307.57/48,454.97 = 30,705.49/x
  3. Step 3: Cross multiply
    32,307.57x = 48,454.97 × 30,705.49
  4. Step 4: Simplify right side
    32,307.57x = 1,487,833,643.26
  5. Step 5: Solve for x
    x = 1,487,833,643.26/32,307.57
  6. Step 6: Final answer
    x = 46,052.16

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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.