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Finding the Fourth Proportional to 35,653.64, 49,204.86 and 19,743.16

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Solution

The fourth proportional to 35,653.64, 49,204.86 and 19,743.16 is: 27,247.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,653.64 : 49,204.86 = 19,743.16 : x
  2. Step 2: Convert to fraction form
    35,653.64/49,204.86 = 19,743.16/x
  3. Step 3: Cross multiply
    35,653.64x = 49,204.86 × 19,743.16
  4. Step 4: Simplify right side
    35,653.64x = 971,459,423.76
  5. Step 5: Solve for x
    x = 971,459,423.76/35,653.64
  6. Step 6: Final answer
    x = 27,247.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.