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Finding the Fourth Proportional to 46,475.71, 64,141.95 and 27,612.85

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Solution

The fourth proportional to 46,475.71, 64,141.95 and 27,612.85 is: 38,108.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,475.71 : 64,141.95 = 27,612.85 : x
  2. Step 2: Convert to fraction form
    46,475.71/64,141.95 = 27,612.85/x
  3. Step 3: Cross multiply
    46,475.71x = 64,141.95 × 27,612.85
  4. Step 4: Simplify right side
    46,475.71x = 1,771,142,044.06
  5. Step 5: Solve for x
    x = 1,771,142,044.06/46,475.71
  6. Step 6: Final answer
    x = 38,108.98

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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.