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Finding the Fourth Proportional to 35,392.48, 53,097.91 and 13,206.02

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Solution

The fourth proportional to 35,392.48, 53,097.91 and 13,206.02 is: 19,812.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,392.48 : 53,097.91 = 13,206.02 : x
  2. Step 2: Convert to fraction form
    35,392.48/53,097.91 = 13,206.02/x
  3. Step 3: Cross multiply
    35,392.48x = 53,097.91 × 13,206.02
  4. Step 4: Simplify right side
    35,392.48x = 701,212,229.50
  5. Step 5: Solve for x
    x = 701,212,229.50/35,392.48
  6. Step 6: Final answer
    x = 19,812.46

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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.