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Finding the Fourth Proportional to 54,784.64, 75,602.64 and 29,634.24

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Solution

The fourth proportional to 54,784.64, 75,602.64 and 29,634.24 is: 40,895.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,784.64 : 75,602.64 = 29,634.24 : x
  2. Step 2: Convert to fraction form
    54,784.64/75,602.64 = 29,634.24/x
  3. Step 3: Cross multiply
    54,784.64x = 75,602.64 × 29,634.24
  4. Step 4: Simplify right side
    54,784.64x = 2,240,426,778.39
  5. Step 5: Solve for x
    x = 2,240,426,778.39/54,784.64
  6. Step 6: Final answer
    x = 40,895.16

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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.