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Finding the Fourth Proportional to 61,510.16, 84,884.28 and 34,653

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Solution

The fourth proportional to 61,510.16, 84,884.28 and 34,653 is: 47,821.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,510.16 : 84,884.28 = 34,653 : x
  2. Step 2: Convert to fraction form
    61,510.16/84,884.28 = 34,653/x
  3. Step 3: Cross multiply
    61,510.16x = 84,884.28 × 34,653
  4. Step 4: Simplify right side
    61,510.16x = 2,941,494,954.84
  5. Step 5: Solve for x
    x = 2,941,494,954.84/61,510.16
  6. Step 6: Final answer
    x = 47,821.29

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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.