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Finding the Fourth Proportional to 59,698.36, 82,374.60 and 34,543

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Solution

The fourth proportional to 59,698.36, 82,374.60 and 34,543 is: 47,664.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,698.36 : 82,374.60 = 34,543 : x
  2. Step 2: Convert to fraction form
    59,698.36/82,374.60 = 34,543/x
  3. Step 3: Cross multiply
    59,698.36x = 82,374.60 × 34,543
  4. Step 4: Simplify right side
    59,698.36x = 2,845,465,807.80
  5. Step 5: Solve for x
    x = 2,845,465,807.80/59,698.36
  6. Step 6: Final answer
    x = 47,664.05

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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.