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Finding the Fourth Proportional to 96,971.58, 145,471.95 and 34,627.50

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Solution

The fourth proportional to 96,971.58, 145,471.95 and 34,627.50 is: 51,946.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,971.58 : 145,471.95 = 34,627.50 : x
  2. Step 2: Convert to fraction form
    96,971.58/145,471.95 = 34,627.50/x
  3. Step 3: Cross multiply
    96,971.58x = 145,471.95 × 34,627.50
  4. Step 4: Simplify right side
    96,971.58x = 5,037,329,948.63
  5. Step 5: Solve for x
    x = 5,037,329,948.63/96,971.58
  6. Step 6: Final answer
    x = 51,946.46

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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.