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Finding the Fourth Proportional to 32,842.98, 49,259.82 and 10,656.54

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Solution

The fourth proportional to 32,842.98, 49,259.82 and 10,656.54 is: 15,983.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,842.98 : 49,259.82 = 10,656.54 : x
  2. Step 2: Convert to fraction form
    32,842.98/49,259.82 = 10,656.54/x
  3. Step 3: Cross multiply
    32,842.98x = 49,259.82 × 10,656.54
  4. Step 4: Simplify right side
    32,842.98x = 524,939,242.22
  5. Step 5: Solve for x
    x = 524,939,242.22/32,842.98
  6. Step 6: Final answer
    x = 15,983.30

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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.