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Finding the Fourth Proportional to 50,332.14, 75,465 and 28,147.86

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Solution

The fourth proportional to 50,332.14, 75,465 and 28,147.86 is: 42,203.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,332.14 : 75,465 = 28,147.86 : x
  2. Step 2: Convert to fraction form
    50,332.14/75,465 = 28,147.86/x
  3. Step 3: Cross multiply
    50,332.14x = 75,465 × 28,147.86
  4. Step 4: Simplify right side
    50,332.14x = 2,124,178,254.90
  5. Step 5: Solve for x
    x = 2,124,178,254.90/50,332.14
  6. Step 6: Final answer
    x = 42,203.22

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