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Finding the Fourth Proportional to 46,742, 64,505.40 and 26,870

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Solution

The fourth proportional to 46,742, 64,505.40 and 26,870 is: 37,081.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,742 : 64,505.40 = 26,870 : x
  2. Step 2: Convert to fraction form
    46,742/64,505.40 = 26,870/x
  3. Step 3: Cross multiply
    46,742x = 64,505.40 × 26,870
  4. Step 4: Simplify right side
    46,742x = 1,733,260,098
  5. Step 5: Solve for x
    x = 1,733,260,098/46,742
  6. Step 6: Final answer
    x = 37,081.43

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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.