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Finding the Fourth Proportional to 32,332.15, 48,498 and 8,316.37

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Solution

The fourth proportional to 32,332.15, 48,498 and 8,316.37 is: 12,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,332.15 : 48,498 = 8,316.37 : x
  2. Step 2: Convert to fraction form
    32,332.15/48,498 = 8,316.37/x
  3. Step 3: Cross multiply
    32,332.15x = 48,498 × 8,316.37
  4. Step 4: Simplify right side
    32,332.15x = 403,327,312.26
  5. Step 5: Solve for x
    x = 403,327,312.26/32,332.15
  6. Step 6: Final answer
    x = 12,474.50

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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.