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Finding the Fourth Proportional to 51,019, 70,374.45 and 35,075.77

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Solution

The fourth proportional to 51,019, 70,374.45 and 35,075.77 is: 48,382.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,019 : 70,374.45 = 35,075.77 : x
  2. Step 2: Convert to fraction form
    51,019/70,374.45 = 35,075.77/x
  3. Step 3: Cross multiply
    51,019x = 70,374.45 × 35,075.77
  4. Step 4: Simplify right side
    51,019x = 2,468,438,022.08
  5. Step 5: Solve for x
    x = 2,468,438,022.08/51,019
  6. Step 6: Final answer
    x = 48,382.72

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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.