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Finding the Fourth Proportional to 130,005, 195,007.50 and 31,509

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Solution

The fourth proportional to 130,005, 195,007.50 and 31,509 is: 47,263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,005 : 195,007.50 = 31,509 : x
  2. Step 2: Convert to fraction form
    130,005/195,007.50 = 31,509/x
  3. Step 3: Cross multiply
    130,005x = 195,007.50 × 31,509
  4. Step 4: Simplify right side
    130,005x = 6,144,491,317.50
  5. Step 5: Solve for x
    x = 6,144,491,317.50/130,005
  6. Step 6: Final answer
    x = 47,263.50

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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.