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Finding the Fourth Proportional to 73,700.76, 101,723.42 and 46,838

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Solution

The fourth proportional to 73,700.76, 101,723.42 and 46,838 is: 64,646.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,700.76 : 101,723.42 = 46,838 : x
  2. Step 2: Convert to fraction form
    73,700.76/101,723.42 = 46,838/x
  3. Step 3: Cross multiply
    73,700.76x = 101,723.42 × 46,838
  4. Step 4: Simplify right side
    73,700.76x = 4,764,521,545.96
  5. Step 5: Solve for x
    x = 4,764,521,545.96/73,700.76
  6. Step 6: Final answer
    x = 64,646.84

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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.