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Finding the Fourth Proportional to 32,605.63, 48,917.70 and 10,420.74

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Solution

The fourth proportional to 32,605.63, 48,917.70 and 10,420.74 is: 15,634.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,605.63 : 48,917.70 = 10,420.74 : x
  2. Step 2: Convert to fraction form
    32,605.63/48,917.70 = 10,420.74/x
  3. Step 3: Cross multiply
    32,605.63x = 48,917.70 × 10,420.74
  4. Step 4: Simplify right side
    32,605.63x = 509,758,633.10
  5. Step 5: Solve for x
    x = 509,758,633.10/32,605.63
  6. Step 6: Final answer
    x = 15,634.07

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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.