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Finding the Fourth Proportional to 97,535.26, 146,307.96 and 30,980.59

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Solution

The fourth proportional to 97,535.26, 146,307.96 and 30,980.59 is: 46,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,535.26 : 146,307.96 = 30,980.59 : x
  2. Step 2: Convert to fraction form
    97,535.26/146,307.96 = 30,980.59/x
  3. Step 3: Cross multiply
    97,535.26x = 146,307.96 × 30,980.59
  4. Step 4: Simplify right side
    97,535.26x = 4,532,706,922.50
  5. Step 5: Solve for x
    x = 4,532,706,922.50/97,535.26
  6. Step 6: Final answer
    x = 46,472.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.