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Finding the Fourth Proportional to 47,743.84, 65,892.54 and 28,880.92

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Solution

The fourth proportional to 47,743.84, 65,892.54 and 28,880.92 is: 39,859.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,743.84 : 65,892.54 = 28,880.92 : x
  2. Step 2: Convert to fraction form
    47,743.84/65,892.54 = 28,880.92/x
  3. Step 3: Cross multiply
    47,743.84x = 65,892.54 × 28,880.92
  4. Step 4: Simplify right side
    47,743.84x = 1,903,037,176.34
  5. Step 5: Solve for x
    x = 1,903,037,176.34/47,743.84
  6. Step 6: Final answer
    x = 39,859.32

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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.