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Finding the Fourth Proportional to 50,897.86, 70,239.23 and 28,237.30

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Solution

The fourth proportional to 50,897.86, 70,239.23 and 28,237.30 is: 38,967.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,897.86 : 70,239.23 = 28,237.30 : x
  2. Step 2: Convert to fraction form
    50,897.86/70,239.23 = 28,237.30/x
  3. Step 3: Cross multiply
    50,897.86x = 70,239.23 × 28,237.30
  4. Step 4: Simplify right side
    50,897.86x = 1,983,366,209.28
  5. Step 5: Solve for x
    x = 1,983,366,209.28/50,897.86
  6. Step 6: Final answer
    x = 38,967.58

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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.