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Finding the Fourth Proportional to 70,648.94, 97,497.96 and 38,819

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Solution

The fourth proportional to 70,648.94, 97,497.96 and 38,819 is: 53,571.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,648.94 : 97,497.96 = 38,819 : x
  2. Step 2: Convert to fraction form
    70,648.94/97,497.96 = 38,819/x
  3. Step 3: Cross multiply
    70,648.94x = 97,497.96 × 38,819
  4. Step 4: Simplify right side
    70,648.94x = 3,784,773,309.24
  5. Step 5: Solve for x
    x = 3,784,773,309.24/70,648.94
  6. Step 6: Final answer
    x = 53,571.55

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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.