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Finding the Fourth Proportional to 32,345.44, 48,518.16 and 8,971.88

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Solution

The fourth proportional to 32,345.44, 48,518.16 and 8,971.88 is: 13,457.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,345.44 : 48,518.16 = 8,971.88 : x
  2. Step 2: Convert to fraction form
    32,345.44/48,518.16 = 8,971.88/x
  3. Step 3: Cross multiply
    32,345.44x = 48,518.16 × 8,971.88
  4. Step 4: Simplify right side
    32,345.44x = 435,298,833.11
  5. Step 5: Solve for x
    x = 435,298,833.11/32,345.44
  6. Step 6: Final answer
    x = 13,457.81

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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.