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Finding the Fourth Proportional to 82,531.81, 123,774.85 and 29,216.77

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Solution

The fourth proportional to 82,531.81, 123,774.85 and 29,216.77 is: 43,817.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,531.81 : 123,774.85 = 29,216.77 : x
  2. Step 2: Convert to fraction form
    82,531.81/123,774.85 = 29,216.77/x
  3. Step 3: Cross multiply
    82,531.81x = 123,774.85 × 29,216.77
  4. Step 4: Simplify right side
    82,531.81x = 3,616,301,051.32
  5. Step 5: Solve for x
    x = 3,616,301,051.32/82,531.81
  6. Step 6: Final answer
    x = 43,817.06

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1.5x scale

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.