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Finding the Fourth Proportional to 32,648.34, 48,970.80 and 8,954.15

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Solution

The fourth proportional to 32,648.34, 48,970.80 and 8,954.15 is: 13,430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,648.34 : 48,970.80 = 8,954.15 : x
  2. Step 2: Convert to fraction form
    32,648.34/48,970.80 = 8,954.15/x
  3. Step 3: Cross multiply
    32,648.34x = 48,970.80 × 8,954.15
  4. Step 4: Simplify right side
    32,648.34x = 438,491,643.97
  5. Step 5: Solve for x
    x = 438,491,643.97/32,648.34
  6. Step 6: Final answer
    x = 13,430.75

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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.