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Finding the Fourth Proportional to 97,903.49, 146,855.38 and 24,031.49

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Solution

The fourth proportional to 97,903.49, 146,855.38 and 24,031.49 is: 36,047.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,903.49 : 146,855.38 = 24,031.49 : x
  2. Step 2: Convert to fraction form
    97,903.49/146,855.38 = 24,031.49/x
  3. Step 3: Cross multiply
    97,903.49x = 146,855.38 × 24,031.49
  4. Step 4: Simplify right side
    97,903.49x = 3,529,153,475.76
  5. Step 5: Solve for x
    x = 3,529,153,475.76/97,903.49
  6. Step 6: Final answer
    x = 36,047.27

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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.