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Finding the Fourth Proportional to 64,194.37, 96,312.29 and 30,916.89

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Solution

The fourth proportional to 64,194.37, 96,312.29 and 30,916.89 is: 46,385.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,194.37 : 96,312.29 = 30,916.89 : x
  2. Step 2: Convert to fraction form
    64,194.37/96,312.29 = 30,916.89/x
  3. Step 3: Cross multiply
    64,194.37x = 96,312.29 × 30,916.89
  4. Step 4: Simplify right side
    64,194.37x = 2,977,676,494.90
  5. Step 5: Solve for x
    x = 2,977,676,494.90/64,194.37
  6. Step 6: Final answer
    x = 46,385.32

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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.