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Finding the Fourth Proportional to 35,945.40, 53,966.70 and 22,823.40

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Solution

The fourth proportional to 35,945.40, 53,966.70 and 22,823.40 is: 34,265.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,945.40 : 53,966.70 = 22,823.40 : x
  2. Step 2: Convert to fraction form
    35,945.40/53,966.70 = 22,823.40/x
  3. Step 3: Cross multiply
    35,945.40x = 53,966.70 × 22,823.40
  4. Step 4: Simplify right side
    35,945.40x = 1,231,703,580.78
  5. Step 5: Solve for x
    x = 1,231,703,580.78/35,945.40
  6. Step 6: Final answer
    x = 34,265.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.