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Finding the Fourth Proportional to 46,854, 70,264.08 and 18,780.48

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Solution

The fourth proportional to 46,854, 70,264.08 and 18,780.48 is: 28,163.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,854 : 70,264.08 = 18,780.48 : x
  2. Step 2: Convert to fraction form
    46,854/70,264.08 = 18,780.48/x
  3. Step 3: Cross multiply
    46,854x = 70,264.08 × 18,780.48
  4. Step 4: Simplify right side
    46,854x = 1,319,593,149.16
  5. Step 5: Solve for x
    x = 1,319,593,149.16/46,854
  6. Step 6: Final answer
    x = 28,163.94

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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.