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Finding the Fourth Proportional to 35,706.29, 53,542.22 and 13,505.40

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Solution

The fourth proportional to 35,706.29, 53,542.22 and 13,505.40 is: 20,251.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,706.29 : 53,542.22 = 13,505.40 : x
  2. Step 2: Convert to fraction form
    35,706.29/53,542.22 = 13,505.40/x
  3. Step 3: Cross multiply
    35,706.29x = 53,542.22 × 13,505.40
  4. Step 4: Simplify right side
    35,706.29x = 723,109,030.46
  5. Step 5: Solve for x
    x = 723,109,030.46/35,706.29
  6. Step 6: Final answer
    x = 20,251.59

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