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Finding the Fourth Proportional to 95,348, 131,580.24 and 61,814

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Solution

The fourth proportional to 95,348, 131,580.24 and 61,814 is: 85,303.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,348 : 131,580.24 = 61,814 : x
  2. Step 2: Convert to fraction form
    95,348/131,580.24 = 61,814/x
  3. Step 3: Cross multiply
    95,348x = 131,580.24 × 61,814
  4. Step 4: Simplify right side
    95,348x = 8,133,500,955.36
  5. Step 5: Solve for x
    x = 8,133,500,955.36/95,348
  6. Step 6: Final answer
    x = 85,303.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.