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Finding the Fourth Proportional to 32,580.84, 48,870.30 and 9,206.88

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Solution

The fourth proportional to 32,580.84, 48,870.30 and 9,206.88 is: 13,810.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,580.84 : 48,870.30 = 9,206.88 : x
  2. Step 2: Convert to fraction form
    32,580.84/48,870.30 = 9,206.88/x
  3. Step 3: Cross multiply
    32,580.84x = 48,870.30 × 9,206.88
  4. Step 4: Simplify right side
    32,580.84x = 449,942,987.66
  5. Step 5: Solve for x
    x = 449,942,987.66/32,580.84
  6. Step 6: Final answer
    x = 13,810.05

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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.