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Finding the Fourth Proportional to 35,453.40, 53,204.40 and 19,658.40

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Solution

The fourth proportional to 35,453.40, 53,204.40 and 19,658.40 is: 29,501.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,453.40 : 53,204.40 = 19,658.40 : x
  2. Step 2: Convert to fraction form
    35,453.40/53,204.40 = 19,658.40/x
  3. Step 3: Cross multiply
    35,453.40x = 53,204.40 × 19,658.40
  4. Step 4: Simplify right side
    35,453.40x = 1,045,913,376.96
  5. Step 5: Solve for x
    x = 1,045,913,376.96/35,453.40
  6. Step 6: Final answer
    x = 29,501.07

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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.