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Finding the Fourth Proportional to 98,153.84, 147,227.28 and 31,598.48

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Solution

The fourth proportional to 98,153.84, 147,227.28 and 31,598.48 is: 47,396.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,153.84 : 147,227.28 = 31,598.48 : x
  2. Step 2: Convert to fraction form
    98,153.84/147,227.28 = 31,598.48/x
  3. Step 3: Cross multiply
    98,153.84x = 147,227.28 × 31,598.48
  4. Step 4: Simplify right side
    98,153.84x = 4,652,158,262.53
  5. Step 5: Solve for x
    x = 4,652,158,262.53/98,153.84
  6. Step 6: Final answer
    x = 47,396.60

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1.5x scale

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.