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Finding the Fourth Proportional to 59,979.50, 82,779 and 34,829

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Solution

The fourth proportional to 59,979.50, 82,779 and 34,829 is: 48,068.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,979.50 : 82,779 = 34,829 : x
  2. Step 2: Convert to fraction form
    59,979.50/82,779 = 34,829/x
  3. Step 3: Cross multiply
    59,979.50x = 82,779 × 34,829
  4. Step 4: Simplify right side
    59,979.50x = 2,883,109,791
  5. Step 5: Solve for x
    x = 2,883,109,791/59,979.50
  6. Step 6: Final answer
    x = 48,068.25

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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.