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Finding the Fourth Proportional to 46,451.76, 64,112.76 and 27,585.24

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Solution

The fourth proportional to 46,451.76, 64,112.76 and 27,585.24 is: 38,073.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,451.76 : 64,112.76 = 27,585.24 : x
  2. Step 2: Convert to fraction form
    46,451.76/64,112.76 = 27,585.24/x
  3. Step 3: Cross multiply
    46,451.76x = 64,112.76 × 27,585.24
  4. Step 4: Simplify right side
    46,451.76x = 1,768,565,871.66
  5. Step 5: Solve for x
    x = 1,768,565,871.66/46,451.76
  6. Step 6: Final answer
    x = 38,073.17

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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.