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Finding the Fourth Proportional to 32,870.96, 49,308.96 and 9,497.60

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Solution

The fourth proportional to 32,870.96, 49,308.96 and 9,497.60 is: 14,247.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,870.96 : 49,308.96 = 9,497.60 : x
  2. Step 2: Convert to fraction form
    32,870.96/49,308.96 = 9,497.60/x
  3. Step 3: Cross multiply
    32,870.96x = 49,308.96 × 9,497.60
  4. Step 4: Simplify right side
    32,870.96x = 468,316,778.50
  5. Step 5: Solve for x
    x = 468,316,778.50/32,870.96
  6. Step 6: Final answer
    x = 14,247.13

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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.