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Finding the Fourth Proportional to 83,292.48, 114,930 and 47,483.16

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Solution

The fourth proportional to 83,292.48, 114,930 and 47,483.16 is: 65,518.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,292.48 : 114,930 = 47,483.16 : x
  2. Step 2: Convert to fraction form
    83,292.48/114,930 = 47,483.16/x
  3. Step 3: Cross multiply
    83,292.48x = 114,930 × 47,483.16
  4. Step 4: Simplify right side
    83,292.48x = 5,457,239,578.80
  5. Step 5: Solve for x
    x = 5,457,239,578.80/83,292.48
  6. Step 6: Final answer
    x = 65,518.99

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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.