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Finding the Fourth Proportional to 48,090.96, 72,167.76 and 21,798

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Solution

The fourth proportional to 48,090.96, 72,167.76 and 21,798 is: 32,711.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,090.96 : 72,167.76 = 21,798 : x
  2. Step 2: Convert to fraction form
    48,090.96/72,167.76 = 21,798/x
  3. Step 3: Cross multiply
    48,090.96x = 72,167.76 × 21,798
  4. Step 4: Simplify right side
    48,090.96x = 1,573,112,832.48
  5. Step 5: Solve for x
    x = 1,573,112,832.48/48,090.96
  6. Step 6: Final answer
    x = 32,711.20

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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.