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Finding the Fourth Proportional to 30,894.66, 46,345.64 and 23,152.68

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Solution

The fourth proportional to 30,894.66, 46,345.64 and 23,152.68 is: 34,731.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,894.66 : 46,345.64 = 23,152.68 : x
  2. Step 2: Convert to fraction form
    30,894.66/46,345.64 = 23,152.68/x
  3. Step 3: Cross multiply
    30,894.66x = 46,345.64 × 23,152.68
  4. Step 4: Simplify right side
    30,894.66x = 1,073,025,656.55
  5. Step 5: Solve for x
    x = 1,073,025,656.55/30,894.66
  6. Step 6: Final answer
    x = 34,731.75

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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.