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Finding the Fourth Proportional to 32,455.80, 48,645.30 and 13,735.80

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Solution

The fourth proportional to 32,455.80, 48,645.30 and 13,735.80 is: 20,587.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,455.80 : 48,645.30 = 13,735.80 : x
  2. Step 2: Convert to fraction form
    32,455.80/48,645.30 = 13,735.80/x
  3. Step 3: Cross multiply
    32,455.80x = 48,645.30 × 13,735.80
  4. Step 4: Simplify right side
    32,455.80x = 668,182,111.74
  5. Step 5: Solve for x
    x = 668,182,111.74/32,455.80
  6. Step 6: Final answer
    x = 20,587.45

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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.