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Finding the Fourth Proportional to 109,902.30, 164,831.85 and 36,030.30

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Solution

The fourth proportional to 109,902.30, 164,831.85 and 36,030.30 is: 54,038.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,902.30 : 164,831.85 = 36,030.30 : x
  2. Step 2: Convert to fraction form
    109,902.30/164,831.85 = 36,030.30/x
  3. Step 3: Cross multiply
    109,902.30x = 164,831.85 × 36,030.30
  4. Step 4: Simplify right side
    109,902.30x = 5,938,941,005.06
  5. Step 5: Solve for x
    x = 5,938,941,005.06/109,902.30
  6. Step 6: Final answer
    x = 54,038.37

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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.