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Finding the Fourth Proportional to 39,385, 59,077.50 and 10,201

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Solution

The fourth proportional to 39,385, 59,077.50 and 10,201 is: 15,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,385 : 59,077.50 = 10,201 : x
  2. Step 2: Convert to fraction form
    39,385/59,077.50 = 10,201/x
  3. Step 3: Cross multiply
    39,385x = 59,077.50 × 10,201
  4. Step 4: Simplify right side
    39,385x = 602,649,577.50
  5. Step 5: Solve for x
    x = 602,649,577.50/39,385
  6. Step 6: Final answer
    x = 15,301.50

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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.