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Finding the Fourth Proportional to 32,502.82, 48,756.04 and 10,318

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Solution

The fourth proportional to 32,502.82, 48,756.04 and 10,318 is: 15,477.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,502.82 : 48,756.04 = 10,318 : x
  2. Step 2: Convert to fraction form
    32,502.82/48,756.04 = 10,318/x
  3. Step 3: Cross multiply
    32,502.82x = 48,756.04 × 10,318
  4. Step 4: Simplify right side
    32,502.82x = 503,064,820.72
  5. Step 5: Solve for x
    x = 503,064,820.72/32,502.82
  6. Step 6: Final answer
    x = 15,477.57

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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.