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Finding the Fourth Proportional to 44,716, 61,708.32 and 24,844

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Solution

The fourth proportional to 44,716, 61,708.32 and 24,844 is: 34,284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,716 : 61,708.32 = 24,844 : x
  2. Step 2: Convert to fraction form
    44,716/61,708.32 = 24,844/x
  3. Step 3: Cross multiply
    44,716x = 61,708.32 × 24,844
  4. Step 4: Simplify right side
    44,716x = 1,533,081,502.08
  5. Step 5: Solve for x
    x = 1,533,081,502.08/44,716
  6. Step 6: Final answer
    x = 34,284.85

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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.