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Finding the Fourth Proportional to 32,526.58, 48,789.20 and 10,340

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Solution

The fourth proportional to 32,526.58, 48,789.20 and 10,340 is: 15,509.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,526.58 : 48,789.20 = 10,340 : x
  2. Step 2: Convert to fraction form
    32,526.58/48,789.20 = 10,340/x
  3. Step 3: Cross multiply
    32,526.58x = 48,789.20 × 10,340
  4. Step 4: Simplify right side
    32,526.58x = 504,480,328.00
  5. Step 5: Solve for x
    x = 504,480,328.00/32,526.58
  6. Step 6: Final answer
    x = 15,509.79

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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.