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Finding the Fourth Proportional to 46,712.94, 64,463.52 and 25,491.72

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Solution

The fourth proportional to 46,712.94, 64,463.52 and 25,491.72 is: 35,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,712.94 : 64,463.52 = 25,491.72 : x
  2. Step 2: Convert to fraction form
    46,712.94/64,463.52 = 25,491.72/x
  3. Step 3: Cross multiply
    46,712.94x = 64,463.52 × 25,491.72
  4. Step 4: Simplify right side
    46,712.94x = 1,643,286,002.05
  5. Step 5: Solve for x
    x = 1,643,286,002.05/46,712.94
  6. Step 6: Final answer
    x = 35,178.39

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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.