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Finding the Fourth Proportional to 35,301.81, 52,955.76 and 9,006.48

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Solution

The fourth proportional to 35,301.81, 52,955.76 and 9,006.48 is: 13,510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,301.81 : 52,955.76 = 9,006.48 : x
  2. Step 2: Convert to fraction form
    35,301.81/52,955.76 = 9,006.48/x
  3. Step 3: Cross multiply
    35,301.81x = 52,955.76 × 9,006.48
  4. Step 4: Simplify right side
    35,301.81x = 476,944,993.32
  5. Step 5: Solve for x
    x = 476,944,993.32/35,301.81
  6. Step 6: Final answer
    x = 13,510.50

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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.