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Finding the Fourth Proportional to 61,752.96, 85,214.88 and 34,896.60

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Solution

The fourth proportional to 61,752.96, 85,214.88 and 34,896.60 is: 48,154.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,752.96 : 85,214.88 = 34,896.60 : x
  2. Step 2: Convert to fraction form
    61,752.96/85,214.88 = 34,896.60/x
  3. Step 3: Cross multiply
    61,752.96x = 85,214.88 × 34,896.60
  4. Step 4: Simplify right side
    61,752.96x = 2,973,709,581.41
  5. Step 5: Solve for x
    x = 2,973,709,581.41/61,752.96
  6. Step 6: Final answer
    x = 48,154.93

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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.