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Finding the Fourth Proportional to 50,298.48, 75,458.88 and 19,134

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Solution

The fourth proportional to 50,298.48, 75,458.88 and 19,134 is: 28,705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,298.48 : 75,458.88 = 19,134 : x
  2. Step 2: Convert to fraction form
    50,298.48/75,458.88 = 19,134/x
  3. Step 3: Cross multiply
    50,298.48x = 75,458.88 × 19,134
  4. Step 4: Simplify right side
    50,298.48x = 1,443,830,209.92
  5. Step 5: Solve for x
    x = 1,443,830,209.92/50,298.48
  6. Step 6: Final answer
    x = 28,705.25

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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.