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Finding the Fourth Proportional to 65,598.36, 97,952.16 and 52,119.60

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Solution

The fourth proportional to 65,598.36, 97,952.16 and 52,119.60 is: 77,825.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,598.36 : 97,952.16 = 52,119.60 : x
  2. Step 2: Convert to fraction form
    65,598.36/97,952.16 = 52,119.60/x
  3. Step 3: Cross multiply
    65,598.36x = 97,952.16 × 52,119.60
  4. Step 4: Simplify right side
    65,598.36x = 5,105,227,398.34
  5. Step 5: Solve for x
    x = 5,105,227,398.34/65,598.36
  6. Step 6: Final answer
    x = 77,825.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.