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Finding the Fourth Proportional to 46,309.32, 69,455.84 and 13,021.47

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Solution

The fourth proportional to 46,309.32, 69,455.84 and 13,021.47 is: 19,529.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,309.32 : 69,455.84 = 13,021.47 : x
  2. Step 2: Convert to fraction form
    46,309.32/69,455.84 = 13,021.47/x
  3. Step 3: Cross multiply
    46,309.32x = 69,455.84 × 13,021.47
  4. Step 4: Simplify right side
    46,309.32x = 904,417,071.78
  5. Step 5: Solve for x
    x = 904,417,071.78/46,309.32
  6. Step 6: Final answer
    x = 19,529.91

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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.