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Finding the Fourth Proportional to 49,026, 67,655.88 and 26,670

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Solution

The fourth proportional to 49,026, 67,655.88 and 26,670 is: 36,804.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,026 : 67,655.88 = 26,670 : x
  2. Step 2: Convert to fraction form
    49,026/67,655.88 = 26,670/x
  3. Step 3: Cross multiply
    49,026x = 67,655.88 × 26,670
  4. Step 4: Simplify right side
    49,026x = 1,804,382,319.60
  5. Step 5: Solve for x
    x = 1,804,382,319.60/49,026
  6. Step 6: Final answer
    x = 36,804.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.