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Finding the Fourth Proportional to 73,462.94, 101,349.71 and 47,961.16

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Solution

The fourth proportional to 73,462.94, 101,349.71 and 47,961.16 is: 66,167.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,462.94 : 101,349.71 = 47,961.16 : x
  2. Step 2: Convert to fraction form
    73,462.94/101,349.71 = 47,961.16/x
  3. Step 3: Cross multiply
    73,462.94x = 101,349.71 × 47,961.16
  4. Step 4: Simplify right side
    73,462.94x = 4,860,849,164.08
  5. Step 5: Solve for x
    x = 4,860,849,164.08/73,462.94
  6. Step 6: Final answer
    x = 66,167.36

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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.