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Finding the Fourth Proportional to 50,594.79, 75,878.32 and 19,002.40

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Solution

The fourth proportional to 50,594.79, 75,878.32 and 19,002.40 is: 28,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,594.79 : 75,878.32 = 19,002.40 : x
  2. Step 2: Convert to fraction form
    50,594.79/75,878.32 = 19,002.40/x
  3. Step 3: Cross multiply
    50,594.79x = 75,878.32 × 19,002.40
  4. Step 4: Simplify right side
    50,594.79x = 1,441,870,484.47
  5. Step 5: Solve for x
    x = 1,441,870,484.47/50,594.79
  6. Step 6: Final answer
    x = 28,498.40

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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.