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Finding the Fourth Proportional to 83,088.56, 114,664.74 and 47,283.73

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Solution

The fourth proportional to 83,088.56, 114,664.74 and 47,283.73 is: 65,252.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,088.56 : 114,664.74 = 47,283.73 : x
  2. Step 2: Convert to fraction form
    83,088.56/114,664.74 = 47,283.73/x
  3. Step 3: Cross multiply
    83,088.56x = 114,664.74 × 47,283.73
  4. Step 4: Simplify right side
    83,088.56x = 5,421,776,033.36
  5. Step 5: Solve for x
    x = 5,421,776,033.36/83,088.56
  6. Step 6: Final answer
    x = 65,252.98

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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.