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Finding the Fourth Proportional to 70,776.94, 97,674.78 and 38,947.18

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Solution

The fourth proportional to 70,776.94, 97,674.78 and 38,947.18 is: 53,748.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,776.94 : 97,674.78 = 38,947.18 : x
  2. Step 2: Convert to fraction form
    70,776.94/97,674.78 = 38,947.18/x
  3. Step 3: Cross multiply
    70,776.94x = 97,674.78 × 38,947.18
  4. Step 4: Simplify right side
    70,776.94x = 3,804,157,238.12
  5. Step 5: Solve for x
    x = 3,804,157,238.12/70,776.94
  6. Step 6: Final answer
    x = 53,748.54

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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.