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Finding the Fourth Proportional to 48,661.40, 72,941.70 and 26,427.80

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Solution

The fourth proportional to 48,661.40, 72,941.70 and 26,427.80 is: 39,614.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,661.40 : 72,941.70 = 26,427.80 : x
  2. Step 2: Convert to fraction form
    48,661.40/72,941.70 = 26,427.80/x
  3. Step 3: Cross multiply
    48,661.40x = 72,941.70 × 26,427.80
  4. Step 4: Simplify right side
    48,661.40x = 1,927,688,659.26
  5. Step 5: Solve for x
    x = 1,927,688,659.26/48,661.40
  6. Step 6: Final answer
    x = 39,614.33

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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.