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Finding the Fourth Proportional to 106,925.64, 160,379.10 and 32,062.50

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Solution

The fourth proportional to 106,925.64, 160,379.10 and 32,062.50 is: 48,090.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,925.64 : 160,379.10 = 32,062.50 : x
  2. Step 2: Convert to fraction form
    106,925.64/160,379.10 = 32,062.50/x
  3. Step 3: Cross multiply
    106,925.64x = 160,379.10 × 32,062.50
  4. Step 4: Simplify right side
    106,925.64x = 5,142,154,893.75
  5. Step 5: Solve for x
    x = 5,142,154,893.75/106,925.64
  6. Step 6: Final answer
    x = 48,090.94

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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.