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Finding the Fourth Proportional to 49,643.40, 74,465.10 and 12,707.40

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Solution

The fourth proportional to 49,643.40, 74,465.10 and 12,707.40 is: 19,061.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,643.40 : 74,465.10 = 12,707.40 : x
  2. Step 2: Convert to fraction form
    49,643.40/74,465.10 = 12,707.40/x
  3. Step 3: Cross multiply
    49,643.40x = 74,465.10 × 12,707.40
  4. Step 4: Simplify right side
    49,643.40x = 946,257,811.74
  5. Step 5: Solve for x
    x = 946,257,811.74/49,643.40
  6. Step 6: Final answer
    x = 19,061.10

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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.