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Finding the Fourth Proportional to 35,465.67, 53,206.31 and 10,507.68

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Solution

The fourth proportional to 35,465.67, 53,206.31 and 10,507.68 is: 15,763.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,465.67 : 53,206.31 = 10,507.68 : x
  2. Step 2: Convert to fraction form
    35,465.67/53,206.31 = 10,507.68/x
  3. Step 3: Cross multiply
    35,465.67x = 53,206.31 × 10,507.68
  4. Step 4: Simplify right side
    35,465.67x = 559,074,826.92
  5. Step 5: Solve for x
    x = 559,074,826.92/35,465.67
  6. Step 6: Final answer
    x = 15,763.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.