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Finding the Fourth Proportional to 32,457.28, 48,686.24 and 10,270.24

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Solution

The fourth proportional to 32,457.28, 48,686.24 and 10,270.24 is: 15,405.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,457.28 : 48,686.24 = 10,270.24 : x
  2. Step 2: Convert to fraction form
    32,457.28/48,686.24 = 10,270.24/x
  3. Step 3: Cross multiply
    32,457.28x = 48,686.24 × 10,270.24
  4. Step 4: Simplify right side
    32,457.28x = 500,019,369.50
  5. Step 5: Solve for x
    x = 500,019,369.50/32,457.28
  6. Step 6: Final answer
    x = 15,405.46

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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.