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Finding the Fourth Proportional to 70,857.63, 97,824.20 and 47,016.63

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Solution

The fourth proportional to 70,857.63, 97,824.20 and 47,016.63 is: 64,909.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,857.63 : 97,824.20 = 47,016.63 : x
  2. Step 2: Convert to fraction form
    70,857.63/97,824.20 = 47,016.63/x
  3. Step 3: Cross multiply
    70,857.63x = 97,824.20 × 47,016.63
  4. Step 4: Simplify right side
    70,857.63x = 4,599,363,981.36
  5. Step 5: Solve for x
    x = 4,599,363,981.36/70,857.63
  6. Step 6: Final answer
    x = 64,909.93

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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.