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Finding the Fourth Proportional to 50,897.76, 70,238.93 and 28,541.76

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Solution

The fourth proportional to 50,897.76, 70,238.93 and 28,541.76 is: 39,387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,897.76 : 70,238.93 = 28,541.76 : x
  2. Step 2: Convert to fraction form
    50,897.76/70,238.93 = 28,541.76/x
  3. Step 3: Cross multiply
    50,897.76x = 70,238.93 × 28,541.76
  4. Step 4: Simplify right side
    50,897.76x = 2,004,742,540.01
  5. Step 5: Solve for x
    x = 2,004,742,540.01/50,897.76
  6. Step 6: Final answer
    x = 39,387.64

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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.