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Finding the Fourth Proportional to 98,715.54, 148,086.24 and 51,970.98

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Solution

The fourth proportional to 98,715.54, 148,086.24 and 51,970.98 is: 77,963.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,715.54 : 148,086.24 = 51,970.98 : x
  2. Step 2: Convert to fraction form
    98,715.54/148,086.24 = 51,970.98/x
  3. Step 3: Cross multiply
    98,715.54x = 148,086.24 × 51,970.98
  4. Step 4: Simplify right side
    98,715.54x = 7,696,187,017.32
  5. Step 5: Solve for x
    x = 7,696,187,017.32/98,715.54
  6. Step 6: Final answer
    x = 77,963.28

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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.