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Finding the Fourth Proportional to 32,365.07, 48,566.48 and 13,643.96

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Solution

The fourth proportional to 32,365.07, 48,566.48 and 13,643.96 is: 20,473.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,365.07 : 48,566.48 = 13,643.96 : x
  2. Step 2: Convert to fraction form
    32,365.07/48,566.48 = 13,643.96/x
  3. Step 3: Cross multiply
    32,365.07x = 48,566.48 × 13,643.96
  4. Step 4: Simplify right side
    32,365.07x = 662,639,110.46
  5. Step 5: Solve for x
    x = 662,639,110.46/32,365.07
  6. Step 6: Final answer
    x = 20,473.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.