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Finding the Fourth Proportional to 53,978.75, 74,527.36 and 34,904.66

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Solution

The fourth proportional to 53,978.75, 74,527.36 and 34,904.66 is: 48,192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,978.75 : 74,527.36 = 34,904.66 : x
  2. Step 2: Convert to fraction form
    53,978.75/74,527.36 = 34,904.66/x
  3. Step 3: Cross multiply
    53,978.75x = 74,527.36 × 34,904.66
  4. Step 4: Simplify right side
    53,978.75x = 2,601,352,161.50
  5. Step 5: Solve for x
    x = 2,601,352,161.50/53,978.75
  6. Step 6: Final answer
    x = 48,192.16

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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.