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Finding the Fourth Proportional to 109,903.34, 164,831.94 and 30,999.11

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Solution

The fourth proportional to 109,903.34, 164,831.94 and 30,999.11 is: 46,492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,903.34 : 164,831.94 = 30,999.11 : x
  2. Step 2: Convert to fraction form
    109,903.34/164,831.94 = 30,999.11/x
  3. Step 3: Cross multiply
    109,903.34x = 164,831.94 × 30,999.11
  4. Step 4: Simplify right side
    109,903.34x = 5,109,643,774.16
  5. Step 5: Solve for x
    x = 5,109,643,774.16/109,903.34
  6. Step 6: Final answer
    x = 46,492.16

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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.