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Finding the Fourth Proportional to 123,889.09, 185,831.44 and 46,966.89

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Solution

The fourth proportional to 123,889.09, 185,831.44 and 46,966.89 is: 70,449.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,889.09 : 185,831.44 = 46,966.89 : x
  2. Step 2: Convert to fraction form
    123,889.09/185,831.44 = 46,966.89/x
  3. Step 3: Cross multiply
    123,889.09x = 185,831.44 × 46,966.89
  4. Step 4: Simplify right side
    123,889.09x = 8,727,924,801.02
  5. Step 5: Solve for x
    x = 8,727,924,801.02/123,889.09
  6. Step 6: Final answer
    x = 70,449.50

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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.