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Finding the Fourth Proportional to 53,618.94, 73,995.66 and 29,421

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Solution

The fourth proportional to 53,618.94, 73,995.66 and 29,421 is: 40,601.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,618.94 : 73,995.66 = 29,421 : x
  2. Step 2: Convert to fraction form
    53,618.94/73,995.66 = 29,421/x
  3. Step 3: Cross multiply
    53,618.94x = 73,995.66 × 29,421
  4. Step 4: Simplify right side
    53,618.94x = 2,177,026,312.86
  5. Step 5: Solve for x
    x = 2,177,026,312.86/53,618.94
  6. Step 6: Final answer
    x = 40,601.82

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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.