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Finding the Fourth Proportional to 109,871.29, 164,844.29 and 46,688.86

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Solution

The fourth proportional to 109,871.29, 164,844.29 and 46,688.86 is: 70,049.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,871.29 : 164,844.29 = 46,688.86 : x
  2. Step 2: Convert to fraction form
    109,871.29/164,844.29 = 46,688.86/x
  3. Step 3: Cross multiply
    109,871.29x = 164,844.29 × 46,688.86
  4. Step 4: Simplify right side
    109,871.29x = 7,696,391,977.61
  5. Step 5: Solve for x
    x = 7,696,391,977.61/109,871.29
  6. Step 6: Final answer
    x = 70,049.16

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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.