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Finding the Fourth Proportional to 46,184.74, 69,288.90 and 12,904.90

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Solution

The fourth proportional to 46,184.74, 69,288.90 and 12,904.90 is: 19,360.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,184.74 : 69,288.90 = 12,904.90 : x
  2. Step 2: Convert to fraction form
    46,184.74/69,288.90 = 12,904.90/x
  3. Step 3: Cross multiply
    46,184.74x = 69,288.90 × 12,904.90
  4. Step 4: Simplify right side
    46,184.74x = 894,166,325.61
  5. Step 5: Solve for x
    x = 894,166,325.61/46,184.74
  6. Step 6: Final answer
    x = 19,360.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.