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Finding the Fourth Proportional to 98,903.71, 148,353.49 and 24,024.22

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Solution

The fourth proportional to 98,903.71, 148,353.49 and 24,024.22 is: 36,035.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,903.71 : 148,353.49 = 24,024.22 : x
  2. Step 2: Convert to fraction form
    98,903.71/148,353.49 = 24,024.22/x
  3. Step 3: Cross multiply
    98,903.71x = 148,353.49 × 24,024.22
  4. Step 4: Simplify right side
    98,903.71x = 3,564,076,881.53
  5. Step 5: Solve for x
    x = 3,564,076,881.53/98,903.71
  6. Step 6: Final answer
    x = 36,035.83

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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.