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Finding the Fourth Proportional to 47,240.40, 65,196.38 and 35,283

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Solution

The fourth proportional to 47,240.40, 65,196.38 and 35,283 is: 48,694.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,240.40 : 65,196.38 = 35,283 : x
  2. Step 2: Convert to fraction form
    47,240.40/65,196.38 = 35,283/x
  3. Step 3: Cross multiply
    47,240.40x = 65,196.38 × 35,283
  4. Step 4: Simplify right side
    47,240.40x = 2,300,323,875.54
  5. Step 5: Solve for x
    x = 2,300,323,875.54/47,240.40
  6. Step 6: Final answer
    x = 48,694.00

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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.