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Finding the Fourth Proportional to 61,506.84, 84,879.05 and 34,658

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Solution

The fourth proportional to 61,506.84, 84,879.05 and 34,658 is: 47,827.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,506.84 : 84,879.05 = 34,658 : x
  2. Step 2: Convert to fraction form
    61,506.84/84,879.05 = 34,658/x
  3. Step 3: Cross multiply
    61,506.84x = 84,879.05 × 34,658
  4. Step 4: Simplify right side
    61,506.84x = 2,941,738,114.90
  5. Step 5: Solve for x
    x = 2,941,738,114.90/61,506.84
  6. Step 6: Final answer
    x = 47,827.82

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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.