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Finding the Fourth Proportional to 53,630.64, 74,015.64 and 34,263

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Solution

The fourth proportional to 53,630.64, 74,015.64 and 34,263 is: 47,286.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,630.64 : 74,015.64 = 34,263 : x
  2. Step 2: Convert to fraction form
    53,630.64/74,015.64 = 34,263/x
  3. Step 3: Cross multiply
    53,630.64x = 74,015.64 × 34,263
  4. Step 4: Simplify right side
    53,630.64x = 2,535,997,873.32
  5. Step 5: Solve for x
    x = 2,535,997,873.32/53,630.64
  6. Step 6: Final answer
    x = 47,286.36

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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.