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Finding the Fourth Proportional to 61,457.81, 84,813.35 and 34,601.24

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Solution

The fourth proportional to 61,457.81, 84,813.35 and 34,601.24 is: 47,750.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,457.81 : 84,813.35 = 34,601.24 : x
  2. Step 2: Convert to fraction form
    61,457.81/84,813.35 = 34,601.24/x
  3. Step 3: Cross multiply
    61,457.81x = 84,813.35 × 34,601.24
  4. Step 4: Simplify right side
    61,457.81x = 2,934,647,117.58
  5. Step 5: Solve for x
    x = 2,934,647,117.58/61,457.81
  6. Step 6: Final answer
    x = 47,750.60

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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.