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Finding the Fourth Proportional to 53,653, 74,041.14 and 29,783.53

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Solution

The fourth proportional to 53,653, 74,041.14 and 29,783.53 is: 41,101.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,653 : 74,041.14 = 29,783.53 : x
  2. Step 2: Convert to fraction form
    53,653/74,041.14 = 29,783.53/x
  3. Step 3: Cross multiply
    53,653x = 74,041.14 × 29,783.53
  4. Step 4: Simplify right side
    53,653x = 2,205,206,514.42
  5. Step 5: Solve for x
    x = 2,205,206,514.42/53,653
  6. Step 6: Final answer
    x = 41,101.27

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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.