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Finding the Fourth Proportional to 35,430.49, 53,142.48 and 10,806.49

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Solution

The fourth proportional to 35,430.49, 53,142.48 and 10,806.49 is: 16,208.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,430.49 : 53,142.48 = 10,806.49 : x
  2. Step 2: Convert to fraction form
    35,430.49/53,142.48 = 10,806.49/x
  3. Step 3: Cross multiply
    35,430.49x = 53,142.48 × 10,806.49
  4. Step 4: Simplify right side
    35,430.49x = 574,283,678.70
  5. Step 5: Solve for x
    x = 574,283,678.70/35,430.49
  6. Step 6: Final answer
    x = 16,208.74

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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.