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Finding the Fourth Proportional to 47,641.52, 65,766.40 and 33,357.50

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Solution

The fourth proportional to 47,641.52, 65,766.40 and 33,357.50 is: 46,048.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,641.52 : 65,766.40 = 33,357.50 : x
  2. Step 2: Convert to fraction form
    47,641.52/65,766.40 = 33,357.50/x
  3. Step 3: Cross multiply
    47,641.52x = 65,766.40 × 33,357.50
  4. Step 4: Simplify right side
    47,641.52x = 2,193,802,688
  5. Step 5: Solve for x
    x = 2,193,802,688/47,641.52
  6. Step 6: Final answer
    x = 46,048.13

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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.