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Finding the Fourth Proportional to 96,978.01, 133,831.28 and 53,960.93

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Solution

The fourth proportional to 96,978.01, 133,831.28 and 53,960.93 is: 74,467.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,978.01 : 133,831.28 = 53,960.93 : x
  2. Step 2: Convert to fraction form
    96,978.01/133,831.28 = 53,960.93/x
  3. Step 3: Cross multiply
    96,978.01x = 133,831.28 × 53,960.93
  4. Step 4: Simplify right side
    96,978.01x = 7,221,660,801.37
  5. Step 5: Solve for x
    x = 7,221,660,801.37/96,978.01
  6. Step 6: Final answer
    x = 74,467.00

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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.