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Finding the Fourth Proportional to 46,772.16, 64,549.08 and 27,908.88

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Solution

The fourth proportional to 46,772.16, 64,549.08 and 27,908.88 is: 38,516.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,772.16 : 64,549.08 = 27,908.88 : x
  2. Step 2: Convert to fraction form
    46,772.16/64,549.08 = 27,908.88/x
  3. Step 3: Cross multiply
    46,772.16x = 64,549.08 × 27,908.88
  4. Step 4: Simplify right side
    46,772.16x = 1,801,492,527.83
  5. Step 5: Solve for x
    x = 1,801,492,527.83/46,772.16
  6. Step 6: Final answer
    x = 38,516.34

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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.