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Finding the Fourth Proportional to 46,874.64, 70,320.06 and 20,582.04

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Solution

The fourth proportional to 46,874.64, 70,320.06 and 20,582.04 is: 30,876.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,874.64 : 70,320.06 = 20,582.04 : x
  2. Step 2: Convert to fraction form
    46,874.64/70,320.06 = 20,582.04/x
  3. Step 3: Cross multiply
    46,874.64x = 70,320.06 × 20,582.04
  4. Step 4: Simplify right side
    46,874.64x = 1,447,330,287.72
  5. Step 5: Solve for x
    x = 1,447,330,287.72/46,874.64
  6. Step 6: Final answer
    x = 30,876.62

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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.