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Finding the Fourth Proportional to 30,946.53, 46,412.36 and 14,290.56

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Solution

The fourth proportional to 30,946.53, 46,412.36 and 14,290.56 is: 21,432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,946.53 : 46,412.36 = 14,290.56 : x
  2. Step 2: Convert to fraction form
    30,946.53/46,412.36 = 14,290.56/x
  3. Step 3: Cross multiply
    30,946.53x = 46,412.36 × 14,290.56
  4. Step 4: Simplify right side
    30,946.53x = 663,258,543.87
  5. Step 5: Solve for x
    x = 663,258,543.87/30,946.53
  6. Step 6: Final answer
    x = 21,432.40

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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.