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Finding the Fourth Proportional to 82,646.40, 123,619.44 and 56,052.48

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Solution

The fourth proportional to 82,646.40, 123,619.44 and 56,052.48 is: 83,841.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,646.40 : 123,619.44 = 56,052.48 : x
  2. Step 2: Convert to fraction form
    82,646.40/123,619.44 = 56,052.48/x
  3. Step 3: Cross multiply
    82,646.40x = 123,619.44 × 56,052.48
  4. Step 4: Simplify right side
    82,646.40x = 6,929,176,188.21
  5. Step 5: Solve for x
    x = 6,929,176,188.21/82,646.40
  6. Step 6: Final answer
    x = 83,841.23

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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.