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Finding the Fourth Proportional to 105,307.77, 157,989.35 and 37,846.62

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Solution

The fourth proportional to 105,307.77, 157,989.35 and 37,846.62 is: 56,779.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,307.77 : 157,989.35 = 37,846.62 : x
  2. Step 2: Convert to fraction form
    105,307.77/157,989.35 = 37,846.62/x
  3. Step 3: Cross multiply
    105,307.77x = 157,989.35 × 37,846.62
  4. Step 4: Simplify right side
    105,307.77x = 5,979,362,893.50
  5. Step 5: Solve for x
    x = 5,979,362,893.50/105,307.77
  6. Step 6: Final answer
    x = 56,779.88

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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.