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Finding the Fourth Proportional to 32,615.61, 48,923.42 and 9,242.05

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Solution

The fourth proportional to 32,615.61, 48,923.42 and 9,242.05 is: 13,863.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,615.61 : 48,923.42 = 9,242.05 : x
  2. Step 2: Convert to fraction form
    32,615.61/48,923.42 = 9,242.05/x
  3. Step 3: Cross multiply
    32,615.61x = 48,923.42 × 9,242.05
  4. Step 4: Simplify right side
    32,615.61x = 452,152,693.81
  5. Step 5: Solve for x
    x = 452,152,693.81/32,615.61
  6. Step 6: Final answer
    x = 13,863.08

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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.