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Finding the Fourth Proportional to 53,201.65, 79,661.69 and 32,113.50

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Solution

The fourth proportional to 53,201.65, 79,661.69 and 32,113.50 is: 48,085.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,201.65 : 79,661.69 = 32,113.50 : x
  2. Step 2: Convert to fraction form
    53,201.65/79,661.69 = 32,113.50/x
  3. Step 3: Cross multiply
    53,201.65x = 79,661.69 × 32,113.50
  4. Step 4: Simplify right side
    53,201.65x = 2,558,216,060.25
  5. Step 5: Solve for x
    x = 2,558,216,060.25/53,201.65
  6. Step 6: Final answer
    x = 48,085.27

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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.