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Finding the Fourth Proportional to 65,208.32, 97,845.84 and 31,052.76

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Solution

The fourth proportional to 65,208.32, 97,845.84 and 31,052.76 is: 46,595.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,208.32 : 97,845.84 = 31,052.76 : x
  2. Step 2: Convert to fraction form
    65,208.32/97,845.84 = 31,052.76/x
  3. Step 3: Cross multiply
    65,208.32x = 97,845.84 × 31,052.76
  4. Step 4: Simplify right side
    65,208.32x = 3,038,383,386.52
  5. Step 5: Solve for x
    x = 3,038,383,386.52/65,208.32
  6. Step 6: Final answer
    x = 46,595.03

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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.