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Finding the Fourth Proportional to 65,292.82, 97,951.52 and 46,526.31

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Solution

The fourth proportional to 65,292.82, 97,951.52 and 46,526.31 is: 69,798.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,292.82 : 97,951.52 = 46,526.31 : x
  2. Step 2: Convert to fraction form
    65,292.82/97,951.52 = 46,526.31/x
  3. Step 3: Cross multiply
    65,292.82x = 97,951.52 × 46,526.31
  4. Step 4: Simplify right side
    65,292.82x = 4,557,322,900.81
  5. Step 5: Solve for x
    x = 4,557,322,900.81/65,292.82
  6. Step 6: Final answer
    x = 69,798.23

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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.