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Finding the Fourth Proportional to 65,174.38, 97,798.54 and 35,188.22

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Solution

The fourth proportional to 65,174.38, 97,798.54 and 35,188.22 is: 52,802.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,174.38 : 97,798.54 = 35,188.22 : x
  2. Step 2: Convert to fraction form
    65,174.38/97,798.54 = 35,188.22/x
  3. Step 3: Cross multiply
    65,174.38x = 97,798.54 × 35,188.22
  4. Step 4: Simplify right side
    65,174.38x = 3,441,356,541.20
  5. Step 5: Solve for x
    x = 3,441,356,541.20/65,174.38
  6. Step 6: Final answer
    x = 52,802.29

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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.