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Finding the Fourth Proportional to 46,458.80, 64,118.64 and 27,596

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Solution

The fourth proportional to 46,458.80, 64,118.64 and 27,596 is: 38,085.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,458.80 : 64,118.64 = 27,596 : x
  2. Step 2: Convert to fraction form
    46,458.80/64,118.64 = 27,596/x
  3. Step 3: Cross multiply
    46,458.80x = 64,118.64 × 27,596
  4. Step 4: Simplify right side
    46,458.80x = 1,769,417,989.44
  5. Step 5: Solve for x
    x = 1,769,417,989.44/46,458.80
  6. Step 6: Final answer
    x = 38,085.74

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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.