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Finding the Fourth Proportional to 82,698.40, 124,047.60 and 26,538.40

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Solution

The fourth proportional to 82,698.40, 124,047.60 and 26,538.40 is: 39,807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,698.40 : 124,047.60 = 26,538.40 : x
  2. Step 2: Convert to fraction form
    82,698.40/124,047.60 = 26,538.40/x
  3. Step 3: Cross multiply
    82,698.40x = 124,047.60 × 26,538.40
  4. Step 4: Simplify right side
    82,698.40x = 3,292,024,827.84
  5. Step 5: Solve for x
    x = 3,292,024,827.84/82,698.40
  6. Step 6: Final answer
    x = 39,807.60

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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.