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Finding the Fourth Proportional to 32,457.66, 48,691.53 and 11,686.02

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Solution

The fourth proportional to 32,457.66, 48,691.53 and 11,686.02 is: 17,530.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,457.66 : 48,691.53 = 11,686.02 : x
  2. Step 2: Convert to fraction form
    32,457.66/48,691.53 = 11,686.02/x
  3. Step 3: Cross multiply
    32,457.66x = 48,691.53 × 11,686.02
  4. Step 4: Simplify right side
    32,457.66x = 569,010,193.41
  5. Step 5: Solve for x
    x = 569,010,193.41/32,457.66
  6. Step 6: Final answer
    x = 17,530.84

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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.