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Finding the Fourth Proportional to 48,658, 72,977.28 and 13,597.96

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Solution

The fourth proportional to 48,658, 72,977.28 and 13,597.96 is: 20,394.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,658 : 72,977.28 = 13,597.96 : x
  2. Step 2: Convert to fraction form
    48,658/72,977.28 = 13,597.96/x
  3. Step 3: Cross multiply
    48,658x = 72,977.28 × 13,597.96
  4. Step 4: Simplify right side
    48,658x = 992,342,066.36
  5. Step 5: Solve for x
    x = 992,342,066.36/48,658
  6. Step 6: Final answer
    x = 20,394.22

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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.