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Finding the Fourth Proportional to 32,464.86, 48,701.47 and 11,403.37

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Solution

The fourth proportional to 32,464.86, 48,701.47 and 11,403.37 is: 17,106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,464.86 : 48,701.47 = 11,403.37 : x
  2. Step 2: Convert to fraction form
    32,464.86/48,701.47 = 11,403.37/x
  3. Step 3: Cross multiply
    32,464.86x = 48,701.47 × 11,403.37
  4. Step 4: Simplify right side
    32,464.86x = 555,360,881.95
  5. Step 5: Solve for x
    x = 555,360,881.95/32,464.86
  6. Step 6: Final answer
    x = 17,106.52

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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.