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Finding the Fourth Proportional to 65,203.40, 97,810.50 and 20,836.46

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Solution

The fourth proportional to 65,203.40, 97,810.50 and 20,836.46 is: 31,256.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,203.40 : 97,810.50 = 20,836.46 : x
  2. Step 2: Convert to fraction form
    65,203.40/97,810.50 = 20,836.46/x
  3. Step 3: Cross multiply
    65,203.40x = 97,810.50 × 20,836.46
  4. Step 4: Simplify right side
    65,203.40x = 2,038,024,570.83
  5. Step 5: Solve for x
    x = 2,038,024,570.83/65,203.40
  6. Step 6: Final answer
    x = 31,256.42

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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.