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Finding the Fourth Proportional to 100,064.53, 138,075.52 and 57,049.57

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Solution

The fourth proportional to 100,064.53, 138,075.52 and 57,049.57 is: 78,720.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,064.53 : 138,075.52 = 57,049.57 : x
  2. Step 2: Convert to fraction form
    100,064.53/138,075.52 = 57,049.57/x
  3. Step 3: Cross multiply
    100,064.53x = 138,075.52 × 57,049.57
  4. Step 4: Simplify right side
    100,064.53x = 7,877,149,043.53
  5. Step 5: Solve for x
    x = 7,877,149,043.53/100,064.53
  6. Step 6: Final answer
    x = 78,720.69

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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.