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Finding the Fourth Proportional to 70,102.16, 96,736.48 and 38,270.98

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Solution

The fourth proportional to 70,102.16, 96,736.48 and 38,270.98 is: 52,811.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,102.16 : 96,736.48 = 38,270.98 : x
  2. Step 2: Convert to fraction form
    70,102.16/96,736.48 = 38,270.98/x
  3. Step 3: Cross multiply
    70,102.16x = 96,736.48 × 38,270.98
  4. Step 4: Simplify right side
    70,102.16x = 3,702,199,916.59
  5. Step 5: Solve for x
    x = 3,702,199,916.59/70,102.16
  6. Step 6: Final answer
    x = 52,811.50

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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.