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Finding the Fourth Proportional to 32,157.48, 48,243.06 and 9,971.40

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Solution

The fourth proportional to 32,157.48, 48,243.06 and 9,971.40 is: 14,959.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,157.48 : 48,243.06 = 9,971.40 : x
  2. Step 2: Convert to fraction form
    32,157.48/48,243.06 = 9,971.40/x
  3. Step 3: Cross multiply
    32,157.48x = 48,243.06 × 9,971.40
  4. Step 4: Simplify right side
    32,157.48x = 481,050,848.48
  5. Step 5: Solve for x
    x = 481,050,848.48/32,157.48
  6. Step 6: Final answer
    x = 14,959.22

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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.