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Finding the Fourth Proportional to 51,344.92, 77,041.86 and 27,970.84

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Solution

The fourth proportional to 51,344.92, 77,041.86 and 27,970.84 is: 41,969.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,344.92 : 77,041.86 = 27,970.84 : x
  2. Step 2: Convert to fraction form
    51,344.92/77,041.86 = 27,970.84/x
  3. Step 3: Cross multiply
    51,344.92x = 77,041.86 × 27,970.84
  4. Step 4: Simplify right side
    51,344.92x = 2,154,925,539.36
  5. Step 5: Solve for x
    x = 2,154,925,539.36/51,344.92
  6. Step 6: Final answer
    x = 41,969.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.