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Finding the Fourth Proportional to 46,956.24, 70,419.50 and 15,359

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Solution

The fourth proportional to 46,956.24, 70,419.50 and 15,359 is: 23,033.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,956.24 : 70,419.50 = 15,359 : x
  2. Step 2: Convert to fraction form
    46,956.24/70,419.50 = 15,359/x
  3. Step 3: Cross multiply
    46,956.24x = 70,419.50 × 15,359
  4. Step 4: Simplify right side
    46,956.24x = 1,081,573,100.50
  5. Step 5: Solve for x
    x = 1,081,573,100.50/46,956.24
  6. Step 6: Final answer
    x = 23,033.64

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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.