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Finding the Fourth Proportional to 85,047.34, 127,565.88 and 37,648.56

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Solution

The fourth proportional to 85,047.34, 127,565.88 and 37,648.56 is: 56,470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,047.34 : 127,565.88 = 37,648.56 : x
  2. Step 2: Convert to fraction form
    85,047.34/127,565.88 = 37,648.56/x
  3. Step 3: Cross multiply
    85,047.34x = 127,565.88 × 37,648.56
  4. Step 4: Simplify right side
    85,047.34x = 4,802,671,208.76
  5. Step 5: Solve for x
    x = 4,802,671,208.76/85,047.34
  6. Step 6: Final answer
    x = 56,470.57

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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.