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Finding the Fourth Proportional to 32,548.76, 48,823.16 and 9,172.16

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Solution

The fourth proportional to 32,548.76, 48,823.16 and 9,172.16 is: 13,758.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,548.76 : 48,823.16 = 9,172.16 : x
  2. Step 2: Convert to fraction form
    32,548.76/48,823.16 = 9,172.16/x
  3. Step 3: Cross multiply
    32,548.76x = 48,823.16 × 9,172.16
  4. Step 4: Simplify right side
    32,548.76x = 447,813,835.23
  5. Step 5: Solve for x
    x = 447,813,835.23/32,548.76
  6. Step 6: Final answer
    x = 13,758.25

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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.