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Finding the Fourth Proportional to 82,813.97, 114,283.23 and 45,088.22

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Solution

The fourth proportional to 82,813.97, 114,283.23 and 45,088.22 is: 62,221.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,813.97 : 114,283.23 = 45,088.22 : x
  2. Step 2: Convert to fraction form
    82,813.97/114,283.23 = 45,088.22/x
  3. Step 3: Cross multiply
    82,813.97x = 114,283.23 × 45,088.22
  4. Step 4: Simplify right side
    82,813.97x = 5,152,827,416.55
  5. Step 5: Solve for x
    x = 5,152,827,416.55/82,813.97
  6. Step 6: Final answer
    x = 62,221.72

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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.