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Finding the Fourth Proportional to 61,505.84, 84,877.67 and 34,657.00

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Solution

The fourth proportional to 61,505.84, 84,877.67 and 34,657.00 is: 47,826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,505.84 : 84,877.67 = 34,657.00 : x
  2. Step 2: Convert to fraction form
    61,505.84/84,877.67 = 34,657.00/x
  3. Step 3: Cross multiply
    61,505.84x = 84,877.67 × 34,657.00
  4. Step 4: Simplify right side
    61,505.84x = 2,941,605,283.64
  5. Step 5: Solve for x
    x = 2,941,605,283.64/61,505.84
  6. Step 6: Final answer
    x = 47,826.44

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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.