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Finding the Fourth Proportional to 48,543.68, 72,827.68 and 15,262.40

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Solution

The fourth proportional to 48,543.68, 72,827.68 and 15,262.40 is: 22,897.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,543.68 : 72,827.68 = 15,262.40 : x
  2. Step 2: Convert to fraction form
    48,543.68/72,827.68 = 15,262.40/x
  3. Step 3: Cross multiply
    48,543.68x = 72,827.68 × 15,262.40
  4. Step 4: Simplify right side
    48,543.68x = 1,111,525,183.23
  5. Step 5: Solve for x
    x = 1,111,525,183.23/48,543.68
  6. Step 6: Final answer
    x = 22,897.42

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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.