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Finding the Fourth Proportional to 98,392.59, 147,610.80 and 31,831.23

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Solution

The fourth proportional to 98,392.59, 147,610.80 and 31,831.23 is: 47,753.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,392.59 : 147,610.80 = 31,831.23 : x
  2. Step 2: Convert to fraction form
    98,392.59/147,610.80 = 31,831.23/x
  3. Step 3: Cross multiply
    98,392.59x = 147,610.80 × 31,831.23
  4. Step 4: Simplify right side
    98,392.59x = 4,698,633,325.28
  5. Step 5: Solve for x
    x = 4,698,633,325.28/98,392.59
  6. Step 6: Final answer
    x = 47,753.93

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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.