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Finding the Fourth Proportional to 52,314.66, 78,506.28 and 31,239

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Solution

The fourth proportional to 52,314.66, 78,506.28 and 31,239 is: 46,878.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,314.66 : 78,506.28 = 31,239 : x
  2. Step 2: Convert to fraction form
    52,314.66/78,506.28 = 31,239/x
  3. Step 3: Cross multiply
    52,314.66x = 78,506.28 × 31,239
  4. Step 4: Simplify right side
    52,314.66x = 2,452,457,680.92
  5. Step 5: Solve for x
    x = 2,452,457,680.92/52,314.66
  6. Step 6: Final answer
    x = 46,878.98

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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.