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Finding the Fourth Proportional to 65,116, 97,674.48 and 15,868

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Solution

The fourth proportional to 65,116, 97,674.48 and 15,868 is: 23,802.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,116 : 97,674.48 = 15,868 : x
  2. Step 2: Convert to fraction form
    65,116/97,674.48 = 15,868/x
  3. Step 3: Cross multiply
    65,116x = 97,674.48 × 15,868
  4. Step 4: Simplify right side
    65,116x = 1,549,898,648.64
  5. Step 5: Solve for x
    x = 1,549,898,648.64/65,116
  6. Step 6: Final answer
    x = 23,802.12

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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.