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Finding the Fourth Proportional to 91,762, 126,633.48 and 52,018

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Solution

The fourth proportional to 91,762, 126,633.48 and 52,018 is: 71,785.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,762 : 126,633.48 = 52,018 : x
  2. Step 2: Convert to fraction form
    91,762/126,633.48 = 52,018/x
  3. Step 3: Cross multiply
    91,762x = 126,633.48 × 52,018
  4. Step 4: Simplify right side
    91,762x = 6,587,220,362.64
  5. Step 5: Solve for x
    x = 6,587,220,362.64/91,762
  6. Step 6: Final answer
    x = 71,785.93

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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.