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Finding the Fourth Proportional to 32,607, 48,911.46 and 7,983

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Solution

The fourth proportional to 32,607, 48,911.46 and 7,983 is: 11,974.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,607 : 48,911.46 = 7,983 : x
  2. Step 2: Convert to fraction form
    32,607/48,911.46 = 7,983/x
  3. Step 3: Cross multiply
    32,607x = 48,911.46 × 7,983
  4. Step 4: Simplify right side
    32,607x = 390,460,185.18
  5. Step 5: Solve for x
    x = 390,460,185.18/32,607
  6. Step 6: Final answer
    x = 11,974.74

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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.