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Finding the Fourth Proportional to 50,535.50, 75,802.92 and 13,095.50

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Solution

The fourth proportional to 50,535.50, 75,802.92 and 13,095.50 is: 19,643.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,535.50 : 75,802.92 = 13,095.50 : x
  2. Step 2: Convert to fraction form
    50,535.50/75,802.92 = 13,095.50/x
  3. Step 3: Cross multiply
    50,535.50x = 75,802.92 × 13,095.50
  4. Step 4: Simplify right side
    50,535.50x = 992,677,138.86
  5. Step 5: Solve for x
    x = 992,677,138.86/50,535.50
  6. Step 6: Final answer
    x = 19,643.16

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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.