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Finding the Fourth Proportional to 32,309.96, 48,465.42 and 8,618

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Solution

The fourth proportional to 32,309.96, 48,465.42 and 8,618 is: 12,927.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,309.96 : 48,465.42 = 8,618 : x
  2. Step 2: Convert to fraction form
    32,309.96/48,465.42 = 8,618/x
  3. Step 3: Cross multiply
    32,309.96x = 48,465.42 × 8,618
  4. Step 4: Simplify right side
    32,309.96x = 417,674,989.56
  5. Step 5: Solve for x
    x = 417,674,989.56/32,309.96
  6. Step 6: Final answer
    x = 12,927.13

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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.