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Finding the Fourth Proportional to 65,315.52, 97,973.28 and 18,562.32

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Solution

The fourth proportional to 65,315.52, 97,973.28 and 18,562.32 is: 27,843.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,315.52 : 97,973.28 = 18,562.32 : x
  2. Step 2: Convert to fraction form
    65,315.52/97,973.28 = 18,562.32/x
  3. Step 3: Cross multiply
    65,315.52x = 97,973.28 × 18,562.32
  4. Step 4: Simplify right side
    65,315.52x = 1,818,611,374.81
  5. Step 5: Solve for x
    x = 1,818,611,374.81/65,315.52
  6. Step 6: Final answer
    x = 27,843.48

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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.