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Finding the Fourth Proportional to 70,831.25, 97,745.19 and 39,000.32

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Solution

The fourth proportional to 70,831.25, 97,745.19 and 39,000.32 is: 53,819.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,831.25 : 97,745.19 = 39,000.32 : x
  2. Step 2: Convert to fraction form
    70,831.25/97,745.19 = 39,000.32/x
  3. Step 3: Cross multiply
    70,831.25x = 97,745.19 × 39,000.32
  4. Step 4: Simplify right side
    70,831.25x = 3,812,093,688.46
  5. Step 5: Solve for x
    x = 3,812,093,688.46/70,831.25
  6. Step 6: Final answer
    x = 53,819.38

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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.