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Finding the Fourth Proportional to 51,201.60, 76,802.40 and 42,446.40

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Solution

The fourth proportional to 51,201.60, 76,802.40 and 42,446.40 is: 63,669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,201.60 : 76,802.40 = 42,446.40 : x
  2. Step 2: Convert to fraction form
    51,201.60/76,802.40 = 42,446.40/x
  3. Step 3: Cross multiply
    51,201.60x = 76,802.40 × 42,446.40
  4. Step 4: Simplify right side
    51,201.60x = 3,259,985,391.36
  5. Step 5: Solve for x
    x = 3,259,985,391.36/51,201.60
  6. Step 6: Final answer
    x = 63,669.60

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1.5x scale

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.