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Finding the Fourth Proportional to 46,943.84, 64,784 and 25,724.44

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Solution

The fourth proportional to 46,943.84, 64,784 and 25,724.44 is: 35,500.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,943.84 : 64,784 = 25,724.44 : x
  2. Step 2: Convert to fraction form
    46,943.84/64,784 = 25,724.44/x
  3. Step 3: Cross multiply
    46,943.84x = 64,784 × 25,724.44
  4. Step 4: Simplify right side
    46,943.84x = 1,666,532,120.96
  5. Step 5: Solve for x
    x = 1,666,532,120.96/46,943.84
  6. Step 6: Final answer
    x = 35,500.55

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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.