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Finding the Fourth Proportional to 65,264.81, 97,897.29 and 17,880.30

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Solution

The fourth proportional to 65,264.81, 97,897.29 and 17,880.30 is: 26,820.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,264.81 : 97,897.29 = 17,880.30 : x
  2. Step 2: Convert to fraction form
    65,264.81/97,897.29 = 17,880.30/x
  3. Step 3: Cross multiply
    65,264.81x = 97,897.29 × 17,880.30
  4. Step 4: Simplify right side
    65,264.81x = 1,750,432,914.39
  5. Step 5: Solve for x
    x = 1,750,432,914.39/65,264.81
  6. Step 6: Final answer
    x = 26,820.47

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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.