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Finding the Fourth Proportional to 35,411.80, 53,099.40 and 10,448.68

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Solution

The fourth proportional to 35,411.80, 53,099.40 and 10,448.68 is: 15,667.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,411.80 : 53,099.40 = 10,448.68 : x
  2. Step 2: Convert to fraction form
    35,411.80/53,099.40 = 10,448.68/x
  3. Step 3: Cross multiply
    35,411.80x = 53,099.40 × 10,448.68
  4. Step 4: Simplify right side
    35,411.80x = 554,818,638.79
  5. Step 5: Solve for x
    x = 554,818,638.79/35,411.80
  6. Step 6: Final answer
    x = 15,667.62

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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.