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Finding the Fourth Proportional to 48,460.50, 72,682.56 and 13,400.28

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Solution

The fourth proportional to 48,460.50, 72,682.56 and 13,400.28 is: 20,098.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,460.50 : 72,682.56 = 13,400.28 : x
  2. Step 2: Convert to fraction form
    48,460.50/72,682.56 = 13,400.28/x
  3. Step 3: Cross multiply
    48,460.50x = 72,682.56 × 13,400.28
  4. Step 4: Simplify right side
    48,460.50x = 973,966,655.12
  5. Step 5: Solve for x
    x = 973,966,655.12/48,460.50
  6. Step 6: Final answer
    x = 20,098.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.