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Finding the Fourth Proportional to 53,254.88, 79,707.24 and 47,422.88

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Solution

The fourth proportional to 53,254.88, 79,707.24 and 47,422.88 is: 70,978.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,254.88 : 79,707.24 = 47,422.88 : x
  2. Step 2: Convert to fraction form
    53,254.88/79,707.24 = 47,422.88/x
  3. Step 3: Cross multiply
    53,254.88x = 79,707.24 × 47,422.88
  4. Step 4: Simplify right side
    53,254.88x = 3,779,946,877.65
  5. Step 5: Solve for x
    x = 3,779,946,877.65/53,254.88
  6. Step 6: Final answer
    x = 70,978.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.