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Finding the Fourth Proportional to 52,305, 72,080.10 and 33,409.32

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Solution

The fourth proportional to 52,305, 72,080.10 and 33,409.32 is: 46,040.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,305 : 72,080.10 = 33,409.32 : x
  2. Step 2: Convert to fraction form
    52,305/72,080.10 = 33,409.32/x
  3. Step 3: Cross multiply
    52,305x = 72,080.10 × 33,409.32
  4. Step 4: Simplify right side
    52,305x = 2,408,147,126.53
  5. Step 5: Solve for x
    x = 2,408,147,126.53/52,305
  6. Step 6: Final answer
    x = 46,040.48

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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.