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Finding the Fourth Proportional to 32,840.47, 49,267.62 and 10,652.12

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Solution

The fourth proportional to 32,840.47, 49,267.62 and 10,652.12 is: 15,980.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,840.47 : 49,267.62 = 10,652.12 : x
  2. Step 2: Convert to fraction form
    32,840.47/49,267.62 = 10,652.12/x
  3. Step 3: Cross multiply
    32,840.47x = 49,267.62 × 10,652.12
  4. Step 4: Simplify right side
    32,840.47x = 524,804,354.02
  5. Step 5: Solve for x
    x = 524,804,354.02/32,840.47
  6. Step 6: Final answer
    x = 15,980.42

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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.