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Finding the Fourth Proportional to 32,503.86, 48,756.06 and 10,317.33

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Solution

The fourth proportional to 32,503.86, 48,756.06 and 10,317.33 is: 15,476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,503.86 : 48,756.06 = 10,317.33 : x
  2. Step 2: Convert to fraction form
    32,503.86/48,756.06 = 10,317.33/x
  3. Step 3: Cross multiply
    32,503.86x = 48,756.06 × 10,317.33
  4. Step 4: Simplify right side
    32,503.86x = 503,032,360.52
  5. Step 5: Solve for x
    x = 503,032,360.52/32,503.86
  6. Step 6: Final answer
    x = 15,476.08

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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.