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Finding the Fourth Proportional to 53,662, 74,056.80 and 32,446.48

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Solution

The fourth proportional to 53,662, 74,056.80 and 32,446.48 is: 44,778.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,662 : 74,056.80 = 32,446.48 : x
  2. Step 2: Convert to fraction form
    53,662/74,056.80 = 32,446.48/x
  3. Step 3: Cross multiply
    53,662x = 74,056.80 × 32,446.48
  4. Step 4: Simplify right side
    53,662x = 2,402,882,480.06
  5. Step 5: Solve for x
    x = 2,402,882,480.06/53,662
  6. Step 6: Final answer
    x = 44,778.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.