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Finding the Fourth Proportional to 46,089, 69,135.12 and 26,358.48

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Solution

The fourth proportional to 46,089, 69,135.12 and 26,358.48 is: 39,538.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,089 : 69,135.12 = 26,358.48 : x
  2. Step 2: Convert to fraction form
    46,089/69,135.12 = 26,358.48/x
  3. Step 3: Cross multiply
    46,089x = 69,135.12 × 26,358.48
  4. Step 4: Simplify right side
    46,089x = 1,822,296,677.82
  5. Step 5: Solve for x
    x = 1,822,296,677.82/46,089
  6. Step 6: Final answer
    x = 39,538.65

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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.