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Finding the Fourth Proportional to 65,101, 97,651.52 and 15,853

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Solution

The fourth proportional to 65,101, 97,651.52 and 15,853 is: 23,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,101 : 97,651.52 = 15,853 : x
  2. Step 2: Convert to fraction form
    65,101/97,651.52 = 15,853/x
  3. Step 3: Cross multiply
    65,101x = 97,651.52 × 15,853
  4. Step 4: Simplify right side
    65,101x = 1,548,069,546.56
  5. Step 5: Solve for x
    x = 1,548,069,546.56/65,101
  6. Step 6: Final answer
    x = 23,779.50

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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.