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Finding the Fourth Proportional to 98,011, 147,016.50 and 42,607

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Solution

The fourth proportional to 98,011, 147,016.50 and 42,607 is: 63,910.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,011 : 147,016.50 = 42,607 : x
  2. Step 2: Convert to fraction form
    98,011/147,016.50 = 42,607/x
  3. Step 3: Cross multiply
    98,011x = 147,016.50 × 42,607
  4. Step 4: Simplify right side
    98,011x = 6,263,932,015.50
  5. Step 5: Solve for x
    x = 6,263,932,015.50/98,011
  6. Step 6: Final answer
    x = 63,910.50

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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.