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Finding the Fourth Proportional to 32,302.35, 48,457.17 and 14,767.47

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Solution

The fourth proportional to 32,302.35, 48,457.17 and 14,767.47 is: 22,152.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,302.35 : 48,457.17 = 14,767.47 : x
  2. Step 2: Convert to fraction form
    32,302.35/48,457.17 = 14,767.47/x
  3. Step 3: Cross multiply
    32,302.35x = 48,457.17 × 14,767.47
  4. Step 4: Simplify right side
    32,302.35x = 715,589,804.26
  5. Step 5: Solve for x
    x = 715,589,804.26/32,302.35
  6. Step 6: Final answer
    x = 22,152.87

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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.