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Finding the Fourth Proportional to 32,041.98, 48,055.14 and 9,548.28

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Solution

The fourth proportional to 32,041.98, 48,055.14 and 9,548.28 is: 14,320.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,041.98 : 48,055.14 = 9,548.28 : x
  2. Step 2: Convert to fraction form
    32,041.98/48,055.14 = 9,548.28/x
  3. Step 3: Cross multiply
    32,041.98x = 48,055.14 × 9,548.28
  4. Step 4: Simplify right side
    32,041.98x = 458,843,932.16
  5. Step 5: Solve for x
    x = 458,843,932.16/32,041.98
  6. Step 6: Final answer
    x = 14,320.09

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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.