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Finding the Fourth Proportional to 35,530.84, 53,286.98 and 10,564.16

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Solution

The fourth proportional to 35,530.84, 53,286.98 and 10,564.16 is: 15,843.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,530.84 : 53,286.98 = 10,564.16 : x
  2. Step 2: Convert to fraction form
    35,530.84/53,286.98 = 10,564.16/x
  3. Step 3: Cross multiply
    35,530.84x = 53,286.98 × 10,564.16
  4. Step 4: Simplify right side
    35,530.84x = 562,932,263.03
  5. Step 5: Solve for x
    x = 562,932,263.03/35,530.84
  6. Step 6: Final answer
    x = 15,843.48

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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.