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Finding the Fourth Proportional to 61,302, 84,596.82 and 34,444.50

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Solution

The fourth proportional to 61,302, 84,596.82 and 34,444.50 is: 47,533.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,302 : 84,596.82 = 34,444.50 : x
  2. Step 2: Convert to fraction form
    61,302/84,596.82 = 34,444.50/x
  3. Step 3: Cross multiply
    61,302x = 84,596.82 × 34,444.50
  4. Step 4: Simplify right side
    61,302x = 2,913,895,166.49
  5. Step 5: Solve for x
    x = 2,913,895,166.49/61,302
  6. Step 6: Final answer
    x = 47,533.44

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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.