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Finding the Fourth Proportional to 83,503.34, 115,242.86 and 47,698.70

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Solution

The fourth proportional to 83,503.34, 115,242.86 and 47,698.70 is: 65,828.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,503.34 : 115,242.86 = 47,698.70 : x
  2. Step 2: Convert to fraction form
    83,503.34/115,242.86 = 47,698.70/x
  3. Step 3: Cross multiply
    83,503.34x = 115,242.86 × 47,698.70
  4. Step 4: Simplify right side
    83,503.34x = 5,496,934,606.28
  5. Step 5: Solve for x
    x = 5,496,934,606.28/83,503.34
  6. Step 6: Final answer
    x = 65,828.92

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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.