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Finding the Fourth Proportional to 70,077.48, 96,709 and 38,248.44

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Solution

The fourth proportional to 70,077.48, 96,709 and 38,248.44 is: 52,783.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,077.48 : 96,709 = 38,248.44 : x
  2. Step 2: Convert to fraction form
    70,077.48/96,709 = 38,248.44/x
  3. Step 3: Cross multiply
    70,077.48x = 96,709 × 38,248.44
  4. Step 4: Simplify right side
    70,077.48x = 3,698,968,383.96
  5. Step 5: Solve for x
    x = 3,698,968,383.96/70,077.48
  6. Step 6: Final answer
    x = 52,783.98

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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.