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Finding the Fourth Proportional to 61,238.54, 84,502.65 and 34,384

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Solution

The fourth proportional to 61,238.54, 84,502.65 and 34,384 is: 47,446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,238.54 : 84,502.65 = 34,384 : x
  2. Step 2: Convert to fraction form
    61,238.54/84,502.65 = 34,384/x
  3. Step 3: Cross multiply
    61,238.54x = 84,502.65 × 34,384
  4. Step 4: Simplify right side
    61,238.54x = 2,905,539,117.60
  5. Step 5: Solve for x
    x = 2,905,539,117.60/61,238.54
  6. Step 6: Final answer
    x = 47,446.25

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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.