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Finding the Fourth Proportional to 52,178, 72,005.64 and 29,822.48

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Solution

The fourth proportional to 52,178, 72,005.64 and 29,822.48 is: 41,155.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,178 : 72,005.64 = 29,822.48 : x
  2. Step 2: Convert to fraction form
    52,178/72,005.64 = 29,822.48/x
  3. Step 3: Cross multiply
    52,178x = 72,005.64 × 29,822.48
  4. Step 4: Simplify right side
    52,178x = 2,147,386,758.79
  5. Step 5: Solve for x
    x = 2,147,386,758.79/52,178
  6. Step 6: Final answer
    x = 41,155.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.