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Finding the Fourth Proportional to 82,820.90, 124,231.35 and 27,416.90

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Solution

The fourth proportional to 82,820.90, 124,231.35 and 27,416.90 is: 41,125.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,820.90 : 124,231.35 = 27,416.90 : x
  2. Step 2: Convert to fraction form
    82,820.90/124,231.35 = 27,416.90/x
  3. Step 3: Cross multiply
    82,820.90x = 124,231.35 × 27,416.90
  4. Step 4: Simplify right side
    82,820.90x = 3,406,038,499.82
  5. Step 5: Solve for x
    x = 3,406,038,499.82/82,820.90
  6. Step 6: Final answer
    x = 41,125.35

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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.