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Finding the Fourth Proportional to 98,803.98, 148,206.34 and 23,924

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Solution

The fourth proportional to 98,803.98, 148,206.34 and 23,924 is: 35,886.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,803.98 : 148,206.34 = 23,924 : x
  2. Step 2: Convert to fraction form
    98,803.98/148,206.34 = 23,924/x
  3. Step 3: Cross multiply
    98,803.98x = 148,206.34 × 23,924
  4. Step 4: Simplify right side
    98,803.98x = 3,545,688,478.16
  5. Step 5: Solve for x
    x = 3,545,688,478.16/98,803.98
  6. Step 6: Final answer
    x = 35,886.09

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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.