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Finding the Fourth Proportional to 57,010.32, 78,673.68 and 31,859.82

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Solution

The fourth proportional to 57,010.32, 78,673.68 and 31,859.82 is: 43,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,010.32 : 78,673.68 = 31,859.82 : x
  2. Step 2: Convert to fraction form
    57,010.32/78,673.68 = 31,859.82/x
  3. Step 3: Cross multiply
    57,010.32x = 78,673.68 × 31,859.82
  4. Step 4: Simplify right side
    57,010.32x = 2,506,529,283.54
  5. Step 5: Solve for x
    x = 2,506,529,283.54/57,010.32
  6. Step 6: Final answer
    x = 43,966.24

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1.5x scale

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.