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Finding the Fourth Proportional to 67,831.83, 101,726.91 and 46,906.32

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Solution

The fourth proportional to 67,831.83, 101,726.91 and 46,906.32 is: 70,345.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,831.83 : 101,726.91 = 46,906.32 : x
  2. Step 2: Convert to fraction form
    67,831.83/101,726.91 = 46,906.32/x
  3. Step 3: Cross multiply
    67,831.83x = 101,726.91 × 46,906.32
  4. Step 4: Simplify right side
    67,831.83x = 4,771,634,993.07
  5. Step 5: Solve for x
    x = 4,771,634,993.07/67,831.83
  6. Step 6: Final answer
    x = 70,345.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.