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Finding the Fourth Proportional to 98,343.84, 147,534.48 and 36,017.76

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Solution

The fourth proportional to 98,343.84, 147,534.48 and 36,017.76 is: 54,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,343.84 : 147,534.48 = 36,017.76 : x
  2. Step 2: Convert to fraction form
    98,343.84/147,534.48 = 36,017.76/x
  3. Step 3: Cross multiply
    98,343.84x = 147,534.48 × 36,017.76
  4. Step 4: Simplify right side
    98,343.84x = 5,313,861,492.36
  5. Step 5: Solve for x
    x = 5,313,861,492.36/98,343.84
  6. Step 6: Final answer
    x = 54,033.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.