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Finding the Fourth Proportional to 32,801.60, 49,202.40 and 30,598.40

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Solution

The fourth proportional to 32,801.60, 49,202.40 and 30,598.40 is: 45,897.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,801.60 : 49,202.40 = 30,598.40 : x
  2. Step 2: Convert to fraction form
    32,801.60/49,202.40 = 30,598.40/x
  3. Step 3: Cross multiply
    32,801.60x = 49,202.40 × 30,598.40
  4. Step 4: Simplify right side
    32,801.60x = 1,505,514,716.16
  5. Step 5: Solve for x
    x = 1,505,514,716.16/32,801.60
  6. Step 6: Final answer
    x = 45,897.60

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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.