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Finding the Fourth Proportional to 56,640.44, 84,970.86 and 46,203

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Solution

The fourth proportional to 56,640.44, 84,970.86 and 46,203 is: 69,312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,640.44 : 84,970.86 = 46,203 : x
  2. Step 2: Convert to fraction form
    56,640.44/84,970.86 = 46,203/x
  3. Step 3: Cross multiply
    56,640.44x = 84,970.86 × 46,203
  4. Step 4: Simplify right side
    56,640.44x = 3,925,908,644.58
  5. Step 5: Solve for x
    x = 3,925,908,644.58/56,640.44
  6. Step 6: Final answer
    x = 69,312.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.