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Finding the Fourth Proportional to 46,992.63, 70,488.95 and 15,827.88

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Solution

The fourth proportional to 46,992.63, 70,488.95 and 15,827.88 is: 23,741.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,992.63 : 70,488.95 = 15,827.88 : x
  2. Step 2: Convert to fraction form
    46,992.63/70,488.95 = 15,827.88/x
  3. Step 3: Cross multiply
    46,992.63x = 70,488.95 × 15,827.88
  4. Step 4: Simplify right side
    46,992.63x = 1,115,690,641.93
  5. Step 5: Solve for x
    x = 1,115,690,641.93/46,992.63
  6. Step 6: Final answer
    x = 23,741.82

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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.