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Finding the Fourth Proportional to 37,880.44, 56,828.86 and 14,506.88

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Solution

The fourth proportional to 37,880.44, 56,828.86 and 14,506.88 is: 21,763.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,880.44 : 56,828.86 = 14,506.88 : x
  2. Step 2: Convert to fraction form
    37,880.44/56,828.86 = 14,506.88/x
  3. Step 3: Cross multiply
    37,880.44x = 56,828.86 × 14,506.88
  4. Step 4: Simplify right side
    37,880.44x = 824,409,132.15
  5. Step 5: Solve for x
    x = 824,409,132.15/37,880.44
  6. Step 6: Final answer
    x = 21,763.45

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1.5x scale

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.