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Finding the Fourth Proportional to 51,041.61, 70,412.90 and 33,142.23

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Solution

The fourth proportional to 51,041.61, 70,412.90 and 33,142.23 is: 45,720.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,041.61 : 70,412.90 = 33,142.23 : x
  2. Step 2: Convert to fraction form
    51,041.61/70,412.90 = 33,142.23/x
  3. Step 3: Cross multiply
    51,041.61x = 70,412.90 × 33,142.23
  4. Step 4: Simplify right side
    51,041.61x = 2,333,640,361.06
  5. Step 5: Solve for x
    x = 2,333,640,361.06/51,041.61
  6. Step 6: Final answer
    x = 45,720.35

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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.