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Finding the Fourth Proportional to 70,906.38, 97,852.86 and 39,077.33

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Solution

The fourth proportional to 70,906.38, 97,852.86 and 39,077.33 is: 53,927.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,906.38 : 97,852.86 = 39,077.33 : x
  2. Step 2: Convert to fraction form
    70,906.38/97,852.86 = 39,077.33/x
  3. Step 3: Cross multiply
    70,906.38x = 97,852.86 × 39,077.33
  4. Step 4: Simplify right side
    70,906.38x = 3,823,828,746.30
  5. Step 5: Solve for x
    x = 3,823,828,746.30/70,906.38
  6. Step 6: Final answer
    x = 53,927.85

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1.5x scale

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.