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Finding the Fourth Proportional to 46,296, 63,897.12 and 26,424

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Solution

The fourth proportional to 46,296, 63,897.12 and 26,424 is: 36,470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,296 : 63,897.12 = 26,424 : x
  2. Step 2: Convert to fraction form
    46,296/63,897.12 = 26,424/x
  3. Step 3: Cross multiply
    46,296x = 63,897.12 × 26,424
  4. Step 4: Simplify right side
    46,296x = 1,688,417,498.88
  5. Step 5: Solve for x
    x = 1,688,417,498.88/46,296
  6. Step 6: Final answer
    x = 36,470.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.