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Finding the Fourth Proportional to 65,903.49, 98,854.43 and 15,984

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Solution

The fourth proportional to 65,903.49, 98,854.43 and 15,984 is: 23,975.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,903.49 : 98,854.43 = 15,984 : x
  2. Step 2: Convert to fraction form
    65,903.49/98,854.43 = 15,984/x
  3. Step 3: Cross multiply
    65,903.49x = 98,854.43 × 15,984
  4. Step 4: Simplify right side
    65,903.49x = 1,580,089,129.20
  5. Step 5: Solve for x
    x = 1,580,089,129.20/65,903.49
  6. Step 6: Final answer
    x = 23,975.80

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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.