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Finding the Fourth Proportional to 52,317.76, 78,457.20 and 17,248

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Solution

The fourth proportional to 52,317.76, 78,457.20 and 17,248 is: 25,865.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,317.76 : 78,457.20 = 17,248 : x
  2. Step 2: Convert to fraction form
    52,317.76/78,457.20 = 17,248/x
  3. Step 3: Cross multiply
    52,317.76x = 78,457.20 × 17,248
  4. Step 4: Simplify right side
    52,317.76x = 1,353,229,785.60
  5. Step 5: Solve for x
    x = 1,353,229,785.60/52,317.76
  6. Step 6: Final answer
    x = 25,865.59

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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.