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Finding the Fourth Proportional to 124,588.64, 186,882 and 31,093.76

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Solution

The fourth proportional to 124,588.64, 186,882 and 31,093.76 is: 46,640.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,588.64 : 186,882 = 31,093.76 : x
  2. Step 2: Convert to fraction form
    124,588.64/186,882 = 31,093.76/x
  3. Step 3: Cross multiply
    124,588.64x = 186,882 × 31,093.76
  4. Step 4: Simplify right side
    124,588.64x = 5,810,864,056.32
  5. Step 5: Solve for x
    x = 5,810,864,056.32/124,588.64
  6. Step 6: Final answer
    x = 46,640.40

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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.