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Finding the Fourth Proportional to 98,322.50, 147,484.32 and 24,450.50

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Solution

The fourth proportional to 98,322.50, 147,484.32 and 24,450.50 is: 36,675.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,322.50 : 147,484.32 = 24,450.50 : x
  2. Step 2: Convert to fraction form
    98,322.50/147,484.32 = 24,450.50/x
  3. Step 3: Cross multiply
    98,322.50x = 147,484.32 × 24,450.50
  4. Step 4: Simplify right side
    98,322.50x = 3,606,065,366.16
  5. Step 5: Solve for x
    x = 3,606,065,366.16/98,322.50
  6. Step 6: Final answer
    x = 36,675.89

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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.