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Finding the Fourth Proportional to 53,269.16, 72,978.65 and 51,275.24

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Solution

The fourth proportional to 53,269.16, 72,978.65 and 51,275.24 is: 70,246.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,269.16 : 72,978.65 = 51,275.24 : x
  2. Step 2: Convert to fraction form
    53,269.16/72,978.65 = 51,275.24/x
  3. Step 3: Cross multiply
    53,269.16x = 72,978.65 × 51,275.24
  4. Step 4: Simplify right side
    53,269.16x = 3,741,997,793.63
  5. Step 5: Solve for x
    x = 3,741,997,793.63/53,269.16
  6. Step 6: Final answer
    x = 70,246.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.