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Finding the Fourth Proportional to 32,501.16, 48,751.74 and 11,456.82

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Solution

The fourth proportional to 32,501.16, 48,751.74 and 11,456.82 is: 17,185.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,501.16 : 48,751.74 = 11,456.82 : x
  2. Step 2: Convert to fraction form
    32,501.16/48,751.74 = 11,456.82/x
  3. Step 3: Cross multiply
    32,501.16x = 48,751.74 × 11,456.82
  4. Step 4: Simplify right side
    32,501.16x = 558,539,909.87
  5. Step 5: Solve for x
    x = 558,539,909.87/32,501.16
  6. Step 6: Final answer
    x = 17,185.23

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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.