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Finding the Fourth Proportional to 32,842.60, 49,235.10 and 19,700.20

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Solution

The fourth proportional to 32,842.60, 49,235.10 and 19,700.20 is: 29,533.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,842.60 : 49,235.10 = 19,700.20 : x
  2. Step 2: Convert to fraction form
    32,842.60/49,235.10 = 19,700.20/x
  3. Step 3: Cross multiply
    32,842.60x = 49,235.10 × 19,700.20
  4. Step 4: Simplify right side
    32,842.60x = 969,941,317.02
  5. Step 5: Solve for x
    x = 969,941,317.02/32,842.60
  6. Step 6: Final answer
    x = 29,533.02

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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.