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Finding the Fourth Proportional to 32,432.98, 48,661.62 and 11,374.60

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Solution

The fourth proportional to 32,432.98, 48,661.62 and 11,374.60 is: 17,066.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,432.98 : 48,661.62 = 11,374.60 : x
  2. Step 2: Convert to fraction form
    32,432.98/48,661.62 = 11,374.60/x
  3. Step 3: Cross multiply
    32,432.98x = 48,661.62 × 11,374.60
  4. Step 4: Simplify right side
    32,432.98x = 553,506,462.85
  5. Step 5: Solve for x
    x = 553,506,462.85/32,432.98
  6. Step 6: Final answer
    x = 17,066.16

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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.