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Finding the Fourth Proportional to 65,310, 97,965.48 and 16,062

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Solution

The fourth proportional to 65,310, 97,965.48 and 16,062 is: 24,093.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,310 : 97,965.48 = 16,062 : x
  2. Step 2: Convert to fraction form
    65,310/97,965.48 = 16,062/x
  3. Step 3: Cross multiply
    65,310x = 97,965.48 × 16,062
  4. Step 4: Simplify right side
    65,310x = 1,573,521,539.76
  5. Step 5: Solve for x
    x = 1,573,521,539.76/65,310
  6. Step 6: Final answer
    x = 24,093.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.