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Finding the Fourth Proportional to 46,871.84, 64,705.28 and 28,977.28

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Solution

The fourth proportional to 46,871.84, 64,705.28 and 28,977.28 is: 40,002.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,871.84 : 64,705.28 = 28,977.28 : x
  2. Step 2: Convert to fraction form
    46,871.84/64,705.28 = 28,977.28/x
  3. Step 3: Cross multiply
    46,871.84x = 64,705.28 × 28,977.28
  4. Step 4: Simplify right side
    46,871.84x = 1,874,983,016.04
  5. Step 5: Solve for x
    x = 1,874,983,016.04/46,871.84
  6. Step 6: Final answer
    x = 40,002.33

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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.