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Finding the Fourth Proportional to 96,095.78, 144,157.45 and 29,541.50

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Solution

The fourth proportional to 96,095.78, 144,157.45 and 29,541.50 is: 44,316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,095.78 : 144,157.45 = 29,541.50 : x
  2. Step 2: Convert to fraction form
    96,095.78/144,157.45 = 29,541.50/x
  3. Step 3: Cross multiply
    96,095.78x = 144,157.45 × 29,541.50
  4. Step 4: Simplify right side
    96,095.78x = 4,258,626,588.39
  5. Step 5: Solve for x
    x = 4,258,626,588.39/96,095.78
  6. Step 6: Final answer
    x = 44,316.48

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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.