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Finding the Fourth Proportional to 53,653.84, 74,038.56 and 29,451.04

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Solution

The fourth proportional to 53,653.84, 74,038.56 and 29,451.04 is: 40,640.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,653.84 : 74,038.56 = 29,451.04 : x
  2. Step 2: Convert to fraction form
    53,653.84/74,038.56 = 29,451.04/x
  3. Step 3: Cross multiply
    53,653.84x = 74,038.56 × 29,451.04
  4. Step 4: Simplify right side
    53,653.84x = 2,180,512,592.10
  5. Step 5: Solve for x
    x = 2,180,512,592.10/53,653.84
  6. Step 6: Final answer
    x = 40,640.38

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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.