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Finding the Fourth Proportional to 61,433.68, 84,856.72 and 47,005.60

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Solution

The fourth proportional to 61,433.68, 84,856.72 and 47,005.60 is: 64,927.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,433.68 : 84,856.72 = 47,005.60 : x
  2. Step 2: Convert to fraction form
    61,433.68/84,856.72 = 47,005.60/x
  3. Step 3: Cross multiply
    61,433.68x = 84,856.72 × 47,005.60
  4. Step 4: Simplify right side
    61,433.68x = 3,988,741,037.63
  5. Step 5: Solve for x
    x = 3,988,741,037.63/61,433.68
  6. Step 6: Final answer
    x = 64,927.59

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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.