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Finding the Fourth Proportional to 94,477, 141,664.20 and 46,987.78

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Solution

The fourth proportional to 94,477, 141,664.20 and 46,987.78 is: 70,456.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,477 : 141,664.20 = 46,987.78 : x
  2. Step 2: Convert to fraction form
    94,477/141,664.20 = 46,987.78/x
  3. Step 3: Cross multiply
    94,477x = 141,664.20 × 46,987.78
  4. Step 4: Simplify right side
    94,477x = 6,656,486,263.48
  5. Step 5: Solve for x
    x = 6,656,486,263.48/94,477
  6. Step 6: Final answer
    x = 70,456.16

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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.