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Finding the Fourth Proportional to 64,537.68, 96,831.34 and 31,255.20

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Solution

The fourth proportional to 64,537.68, 96,831.34 and 31,255.20 is: 46,894.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,537.68 : 96,831.34 = 31,255.20 : x
  2. Step 2: Convert to fraction form
    64,537.68/96,831.34 = 31,255.20/x
  3. Step 3: Cross multiply
    64,537.68x = 96,831.34 × 31,255.20
  4. Step 4: Simplify right side
    64,537.68x = 3,026,482,897.97
  5. Step 5: Solve for x
    x = 3,026,482,897.97/64,537.68
  6. Step 6: Final answer
    x = 46,894.82

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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.