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Finding the Fourth Proportional to 35,530.96, 53,287.16 and 10,564.29

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Solution

The fourth proportional to 35,530.96, 53,287.16 and 10,564.29 is: 15,843.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,530.96 : 53,287.16 = 10,564.29 : x
  2. Step 2: Convert to fraction form
    35,530.96/53,287.16 = 10,564.29/x
  3. Step 3: Cross multiply
    35,530.96x = 53,287.16 × 10,564.29
  4. Step 4: Simplify right side
    35,530.96x = 562,941,011.52
  5. Step 5: Solve for x
    x = 562,941,011.52/35,530.96
  6. Step 6: Final answer
    x = 15,843.68

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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.