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Finding the Fourth Proportional to 130,047, 195,077.24 and 41,307.48

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Solution

The fourth proportional to 130,047, 195,077.24 and 41,307.48 is: 61,963.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,047 : 195,077.24 = 41,307.48 : x
  2. Step 2: Convert to fraction form
    130,047/195,077.24 = 41,307.48/x
  3. Step 3: Cross multiply
    130,047x = 195,077.24 × 41,307.48
  4. Step 4: Simplify right side
    130,047x = 8,058,149,189.76
  5. Step 5: Solve for x
    x = 8,058,149,189.76/130,047
  6. Step 6: Final answer
    x = 61,963.36

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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.