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Finding the Fourth Proportional to 83,466.60, 125,029.80 and 51,779.40

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Solution

The fourth proportional to 83,466.60, 125,029.80 and 51,779.40 is: 77,563.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,466.60 : 125,029.80 = 51,779.40 : x
  2. Step 2: Convert to fraction form
    83,466.60/125,029.80 = 51,779.40/x
  3. Step 3: Cross multiply
    83,466.60x = 125,029.80 × 51,779.40
  4. Step 4: Simplify right side
    83,466.60x = 6,473,968,026.12
  5. Step 5: Solve for x
    x = 6,473,968,026.12/83,466.60
  6. Step 6: Final answer
    x = 77,563.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.