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Finding the Fourth Proportional to 65,082, 97,587.93 and 35,112.33

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Solution

The fourth proportional to 65,082, 97,587.93 and 35,112.33 is: 52,649.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,082 : 97,587.93 = 35,112.33 : x
  2. Step 2: Convert to fraction form
    65,082/97,587.93 = 35,112.33/x
  3. Step 3: Cross multiply
    65,082x = 97,587.93 × 35,112.33
  4. Step 4: Simplify right side
    65,082x = 3,426,539,602.18
  5. Step 5: Solve for x
    x = 3,426,539,602.18/65,082
  6. Step 6: Final answer
    x = 52,649.57

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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.