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Finding the Fourth Proportional to 32,335.72, 48,503.58 and 11,557.96

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Solution

The fourth proportional to 32,335.72, 48,503.58 and 11,557.96 is: 17,336.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,335.72 : 48,503.58 = 11,557.96 : x
  2. Step 2: Convert to fraction form
    32,335.72/48,503.58 = 11,557.96/x
  3. Step 3: Cross multiply
    32,335.72x = 48,503.58 × 11,557.96
  4. Step 4: Simplify right side
    32,335.72x = 560,602,437.50
  5. Step 5: Solve for x
    x = 560,602,437.50/32,335.72
  6. Step 6: Final answer
    x = 17,336.94

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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.