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Finding the Fourth Proportional to 98,529.88, 147,794.75 and 31,970.01

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Solution

The fourth proportional to 98,529.88, 147,794.75 and 31,970.01 is: 47,954.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,529.88 : 147,794.75 = 31,970.01 : x
  2. Step 2: Convert to fraction form
    98,529.88/147,794.75 = 31,970.01/x
  3. Step 3: Cross multiply
    98,529.88x = 147,794.75 × 31,970.01
  4. Step 4: Simplify right side
    98,529.88x = 4,724,999,635.45
  5. Step 5: Solve for x
    x = 4,724,999,635.45/98,529.88
  6. Step 6: Final answer
    x = 47,954.99

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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.