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Finding the Fourth Proportional to 65,004.50, 97,506.75 and 15,756.50

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Solution

The fourth proportional to 65,004.50, 97,506.75 and 15,756.50 is: 23,634.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,004.50 : 97,506.75 = 15,756.50 : x
  2. Step 2: Convert to fraction form
    65,004.50/97,506.75 = 15,756.50/x
  3. Step 3: Cross multiply
    65,004.50x = 97,506.75 × 15,756.50
  4. Step 4: Simplify right side
    65,004.50x = 1,536,365,106.38
  5. Step 5: Solve for x
    x = 1,536,365,106.38/65,004.50
  6. Step 6: Final answer
    x = 23,634.75

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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.