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Finding the Fourth Proportional to 46,820.16, 70,256.16 and 19,116

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Solution

The fourth proportional to 46,820.16, 70,256.16 and 19,116 is: 28,684.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,820.16 : 70,256.16 = 19,116 : x
  2. Step 2: Convert to fraction form
    46,820.16/70,256.16 = 19,116/x
  3. Step 3: Cross multiply
    46,820.16x = 70,256.16 × 19,116
  4. Step 4: Simplify right side
    46,820.16x = 1,343,016,754.56
  5. Step 5: Solve for x
    x = 1,343,016,754.56/46,820.16
  6. Step 6: Final answer
    x = 28,684.58

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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.