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Finding the Fourth Proportional to 32,307.96, 48,462.42 and 8,616

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Solution

The fourth proportional to 32,307.96, 48,462.42 and 8,616 is: 12,924.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,307.96 : 48,462.42 = 8,616 : x
  2. Step 2: Convert to fraction form
    32,307.96/48,462.42 = 8,616/x
  3. Step 3: Cross multiply
    32,307.96x = 48,462.42 × 8,616
  4. Step 4: Simplify right side
    32,307.96x = 417,552,210.72
  5. Step 5: Solve for x
    x = 417,552,210.72/32,307.96
  6. Step 6: Final answer
    x = 12,924.13

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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.