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Finding the Fourth Proportional to 51,164.61, 70,607.28 and 29,658.51

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Solution

The fourth proportional to 51,164.61, 70,607.28 and 29,658.51 is: 40,928.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,164.61 : 70,607.28 = 29,658.51 : x
  2. Step 2: Convert to fraction form
    51,164.61/70,607.28 = 29,658.51/x
  3. Step 3: Cross multiply
    51,164.61x = 70,607.28 × 29,658.51
  4. Step 4: Simplify right side
    51,164.61x = 2,094,106,719.95
  5. Step 5: Solve for x
    x = 2,094,106,719.95/51,164.61
  6. Step 6: Final answer
    x = 40,928.81

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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.