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Finding the Fourth Proportional to 65,208.63, 97,809.74 and 38,206.29

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Solution

The fourth proportional to 65,208.63, 97,809.74 and 38,206.29 is: 57,307.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,208.63 : 97,809.74 = 38,206.29 : x
  2. Step 2: Convert to fraction form
    65,208.63/97,809.74 = 38,206.29/x
  3. Step 3: Cross multiply
    65,208.63x = 97,809.74 × 38,206.29
  4. Step 4: Simplify right side
    65,208.63x = 3,736,947,291.26
  5. Step 5: Solve for x
    x = 3,736,947,291.26/65,208.63
  6. Step 6: Final answer
    x = 57,307.56

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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.