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Finding the Fourth Proportional to 46,653.56, 64,381.52 and 25,432.38

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Solution

The fourth proportional to 46,653.56, 64,381.52 and 25,432.38 is: 35,096.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,653.56 : 64,381.52 = 25,432.38 : x
  2. Step 2: Convert to fraction form
    46,653.56/64,381.52 = 25,432.38/x
  3. Step 3: Cross multiply
    46,653.56x = 64,381.52 × 25,432.38
  4. Step 4: Simplify right side
    46,653.56x = 1,637,375,281.62
  5. Step 5: Solve for x
    x = 1,637,375,281.62/46,653.56
  6. Step 6: Final answer
    x = 35,096.47

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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.