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Finding the Fourth Proportional to 97,650.30, 134,758.22 and 52,938.30

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Solution

The fourth proportional to 97,650.30, 134,758.22 and 52,938.30 is: 73,055.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,650.30 : 134,758.22 = 52,938.30 : x
  2. Step 2: Convert to fraction form
    97,650.30/134,758.22 = 52,938.30/x
  3. Step 3: Cross multiply
    97,650.30x = 134,758.22 × 52,938.30
  4. Step 4: Simplify right side
    97,650.30x = 7,133,871,077.83
  5. Step 5: Solve for x
    x = 7,133,871,077.83/97,650.30
  6. Step 6: Final answer
    x = 73,055.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.