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Finding the Fourth Proportional to 90,341.56, 135,595.52 and 46,000

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Solution

The fourth proportional to 90,341.56, 135,595.52 and 46,000 is: 69,042.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,341.56 : 135,595.52 = 46,000 : x
  2. Step 2: Convert to fraction form
    90,341.56/135,595.52 = 46,000/x
  3. Step 3: Cross multiply
    90,341.56x = 135,595.52 × 46,000
  4. Step 4: Simplify right side
    90,341.56x = 6,237,393,920.00
  5. Step 5: Solve for x
    x = 6,237,393,920.00/90,341.56
  6. Step 6: Final answer
    x = 69,042.35

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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.