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Finding the Fourth Proportional to 51,071.51, 70,468.38 and 29,846.68

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Solution

The fourth proportional to 51,071.51, 70,468.38 and 29,846.68 is: 41,182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,071.51 : 70,468.38 = 29,846.68 : x
  2. Step 2: Convert to fraction form
    51,071.51/70,468.38 = 29,846.68/x
  3. Step 3: Cross multiply
    51,071.51x = 70,468.38 × 29,846.68
  4. Step 4: Simplify right side
    51,071.51x = 2,103,247,011.81
  5. Step 5: Solve for x
    x = 2,103,247,011.81/51,071.51
  6. Step 6: Final answer
    x = 41,182.39

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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.