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Finding the Fourth Proportional to 46,850, 70,164.56 and 40,660.48

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Solution

The fourth proportional to 46,850, 70,164.56 and 40,660.48 is: 60,894.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,850 : 70,164.56 = 40,660.48 : x
  2. Step 2: Convert to fraction form
    46,850/70,164.56 = 40,660.48/x
  3. Step 3: Cross multiply
    46,850x = 70,164.56 × 40,660.48
  4. Step 4: Simplify right side
    46,850x = 2,852,924,688.59
  5. Step 5: Solve for x
    x = 2,852,924,688.59/46,850
  6. Step 6: Final answer
    x = 60,894.87

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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.