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Finding the Fourth Proportional to 46,786.40, 64,565.40 and 25,565.66

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Solution

The fourth proportional to 46,786.40, 64,565.40 and 25,565.66 is: 35,280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,786.40 : 64,565.40 = 25,565.66 : x
  2. Step 2: Convert to fraction form
    46,786.40/64,565.40 = 25,565.66/x
  3. Step 3: Cross multiply
    46,786.40x = 64,565.40 × 25,565.66
  4. Step 4: Simplify right side
    46,786.40x = 1,650,657,298.70
  5. Step 5: Solve for x
    x = 1,650,657,298.70/46,786.40
  6. Step 6: Final answer
    x = 35,280.71

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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.