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Finding the Fourth Proportional to 32,956.74, 49,442.40 and 9,585

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Solution

The fourth proportional to 32,956.74, 49,442.40 and 9,585 is: 14,379.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,956.74 : 49,442.40 = 9,585 : x
  2. Step 2: Convert to fraction form
    32,956.74/49,442.40 = 9,585/x
  3. Step 3: Cross multiply
    32,956.74x = 49,442.40 × 9,585
  4. Step 4: Simplify right side
    32,956.74x = 473,905,404
  5. Step 5: Solve for x
    x = 473,905,404/32,956.74
  6. Step 6: Final answer
    x = 14,379.62

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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.