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Finding the Fourth Proportional to 82,852.90, 124,300.05 and 26,698.30

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Solution

The fourth proportional to 82,852.90, 124,300.05 and 26,698.30 is: 40,054.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,852.90 : 124,300.05 = 26,698.30 : x
  2. Step 2: Convert to fraction form
    82,852.90/124,300.05 = 26,698.30/x
  3. Step 3: Cross multiply
    82,852.90x = 124,300.05 × 26,698.30
  4. Step 4: Simplify right side
    82,852.90x = 3,318,600,024.92
  5. Step 5: Solve for x
    x = 3,318,600,024.92/82,852.90
  6. Step 6: Final answer
    x = 40,054.12

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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.