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Finding the Fourth Proportional to 76,711.50, 105,807.33 and 51,205

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Solution

The fourth proportional to 76,711.50, 105,807.33 and 51,205 is: 70,626.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,711.50 : 105,807.33 = 51,205 : x
  2. Step 2: Convert to fraction form
    76,711.50/105,807.33 = 51,205/x
  3. Step 3: Cross multiply
    76,711.50x = 105,807.33 × 51,205
  4. Step 4: Simplify right side
    76,711.50x = 5,417,864,332.65
  5. Step 5: Solve for x
    x = 5,417,864,332.65/76,711.50
  6. Step 6: Final answer
    x = 70,626.49

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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.