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Finding the Fourth Proportional to 32,094.36, 48,148.25 and 9,907.25

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Solution

The fourth proportional to 32,094.36, 48,148.25 and 9,907.25 is: 14,862.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,094.36 : 48,148.25 = 9,907.25 : x
  2. Step 2: Convert to fraction form
    32,094.36/48,148.25 = 9,907.25/x
  3. Step 3: Cross multiply
    32,094.36x = 48,148.25 × 9,907.25
  4. Step 4: Simplify right side
    32,094.36x = 477,016,459.54
  5. Step 5: Solve for x
    x = 477,016,459.54/32,094.36
  6. Step 6: Final answer
    x = 14,862.94

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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.