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Finding the Fourth Proportional to 98,936.16, 148,402.16 and 24,056.70

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Solution

The fourth proportional to 98,936.16, 148,402.16 and 24,056.70 is: 36,084.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,936.16 : 148,402.16 = 24,056.70 : x
  2. Step 2: Convert to fraction form
    98,936.16/148,402.16 = 24,056.70/x
  3. Step 3: Cross multiply
    98,936.16x = 148,402.16 × 24,056.70
  4. Step 4: Simplify right side
    98,936.16x = 3,570,066,242.47
  5. Step 5: Solve for x
    x = 3,570,066,242.47/98,936.16
  6. Step 6: Final answer
    x = 36,084.54

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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.