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Finding the Fourth Proportional to 131,483.52, 197,277.12 and 48,384

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Solution

The fourth proportional to 131,483.52, 197,277.12 and 48,384 is: 72,595.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,483.52 : 197,277.12 = 48,384 : x
  2. Step 2: Convert to fraction form
    131,483.52/197,277.12 = 48,384/x
  3. Step 3: Cross multiply
    131,483.52x = 197,277.12 × 48,384
  4. Step 4: Simplify right side
    131,483.52x = 9,545,056,174.08
  5. Step 5: Solve for x
    x = 9,545,056,174.08/131,483.52
  6. Step 6: Final answer
    x = 72,595.08

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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.