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Finding the Fourth Proportional to 65,182.52, 97,775.70 and 18,430.52

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Solution

The fourth proportional to 65,182.52, 97,775.70 and 18,430.52 is: 27,646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,182.52 : 97,775.70 = 18,430.52 : x
  2. Step 2: Convert to fraction form
    65,182.52/97,775.70 = 18,430.52/x
  3. Step 3: Cross multiply
    65,182.52x = 97,775.70 × 18,430.52
  4. Step 4: Simplify right side
    65,182.52x = 1,802,056,994.36
  5. Step 5: Solve for x
    x = 1,802,056,994.36/65,182.52
  6. Step 6: Final answer
    x = 27,646.32

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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.