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Finding the Fourth Proportional to 32,497.60, 48,649.20 and 30,575.20

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Solution

The fourth proportional to 32,497.60, 48,649.20 and 30,575.20 is: 45,771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,497.60 : 48,649.20 = 30,575.20 : x
  2. Step 2: Convert to fraction form
    32,497.60/48,649.20 = 30,575.20/x
  3. Step 3: Cross multiply
    32,497.60x = 48,649.20 × 30,575.20
  4. Step 4: Simplify right side
    32,497.60x = 1,487,459,019.84
  5. Step 5: Solve for x
    x = 1,487,459,019.84/32,497.60
  6. Step 6: Final answer
    x = 45,771.35

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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.