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Finding the Fourth Proportional to 30,838.52, 46,265.04 and 10,062

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Solution

The fourth proportional to 30,838.52, 46,265.04 and 10,062 is: 15,095.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,838.52 : 46,265.04 = 10,062 : x
  2. Step 2: Convert to fraction form
    30,838.52/46,265.04 = 10,062/x
  3. Step 3: Cross multiply
    30,838.52x = 46,265.04 × 10,062
  4. Step 4: Simplify right side
    30,838.52x = 465,518,832.48
  5. Step 5: Solve for x
    x = 465,518,832.48/30,838.52
  6. Step 6: Final answer
    x = 15,095.37

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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.