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Finding the Fourth Proportional to 32,036.17, 48,020.81 and 10,970

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Solution

The fourth proportional to 32,036.17, 48,020.81 and 10,970 is: 16,443.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,036.17 : 48,020.81 = 10,970 : x
  2. Step 2: Convert to fraction form
    32,036.17/48,020.81 = 10,970/x
  3. Step 3: Cross multiply
    32,036.17x = 48,020.81 × 10,970
  4. Step 4: Simplify right side
    32,036.17x = 526,788,285.70
  5. Step 5: Solve for x
    x = 526,788,285.70/32,036.17
  6. Step 6: Final answer
    x = 16,443.55

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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.