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Finding the Fourth Proportional to 32,084.63, 48,133.82 and 9,597.08

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Solution

The fourth proportional to 32,084.63, 48,133.82 and 9,597.08 is: 14,397.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,084.63 : 48,133.82 = 9,597.08 : x
  2. Step 2: Convert to fraction form
    32,084.63/48,133.82 = 9,597.08/x
  3. Step 3: Cross multiply
    32,084.63x = 48,133.82 × 9,597.08
  4. Step 4: Simplify right side
    32,084.63x = 461,943,832.59
  5. Step 5: Solve for x
    x = 461,943,832.59/32,084.63
  6. Step 6: Final answer
    x = 14,397.67

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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.