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Finding the Fourth Proportional to 65,897.76, 98,853.12 and 19,138.08

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Solution

The fourth proportional to 65,897.76, 98,853.12 and 19,138.08 is: 28,709.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,897.76 : 98,853.12 = 19,138.08 : x
  2. Step 2: Convert to fraction form
    65,897.76/98,853.12 = 19,138.08/x
  3. Step 3: Cross multiply
    65,897.76x = 98,853.12 × 19,138.08
  4. Step 4: Simplify right side
    65,897.76x = 1,891,858,918.81
  5. Step 5: Solve for x
    x = 1,891,858,918.81/65,897.76
  6. Step 6: Final answer
    x = 28,709.00

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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.