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Finding the Fourth Proportional to 98,705.01, 148,070.49 and 51,960.45

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Solution

The fourth proportional to 98,705.01, 148,070.49 and 51,960.45 is: 77,947.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,705.01 : 148,070.49 = 51,960.45 : x
  2. Step 2: Convert to fraction form
    98,705.01/148,070.49 = 51,960.45/x
  3. Step 3: Cross multiply
    98,705.01x = 148,070.49 × 51,960.45
  4. Step 4: Simplify right side
    98,705.01x = 7,693,809,292.12
  5. Step 5: Solve for x
    x = 7,693,809,292.12/98,705.01
  6. Step 6: Final answer
    x = 77,947.51

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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.