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Finding the Fourth Proportional to 32,347.86, 48,505.38 and 14,802.66

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Solution

The fourth proportional to 32,347.86, 48,505.38 and 14,802.66 is: 22,196.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,347.86 : 48,505.38 = 14,802.66 : x
  2. Step 2: Convert to fraction form
    32,347.86/48,505.38 = 14,802.66/x
  3. Step 3: Cross multiply
    32,347.86x = 48,505.38 × 14,802.66
  4. Step 4: Simplify right side
    32,347.86x = 718,008,648.31
  5. Step 5: Solve for x
    x = 718,008,648.31/32,347.86
  6. Step 6: Final answer
    x = 22,196.48

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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.