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Finding the Fourth Proportional to 35,423.02, 53,148.03 and 13,246.30

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Solution

The fourth proportional to 35,423.02, 53,148.03 and 13,246.30 is: 19,874.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,423.02 : 53,148.03 = 13,246.30 : x
  2. Step 2: Convert to fraction form
    35,423.02/53,148.03 = 13,246.30/x
  3. Step 3: Cross multiply
    35,423.02x = 53,148.03 × 13,246.30
  4. Step 4: Simplify right side
    35,423.02x = 704,014,749.79
  5. Step 5: Solve for x
    x = 704,014,749.79/35,423.02
  6. Step 6: Final answer
    x = 19,874.50

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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.