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Finding the Fourth Proportional to 99,297, 148,944.21 and 24,417.80

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Solution

The fourth proportional to 99,297, 148,944.21 and 24,417.80 is: 36,626.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,297 : 148,944.21 = 24,417.80 : x
  2. Step 2: Convert to fraction form
    99,297/148,944.21 = 24,417.80/x
  3. Step 3: Cross multiply
    99,297x = 148,944.21 × 24,417.80
  4. Step 4: Simplify right side
    99,297x = 3,636,889,186.22
  5. Step 5: Solve for x
    x = 3,636,889,186.22/99,297
  6. Step 6: Final answer
    x = 36,626.38

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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.