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Finding the Fourth Proportional to 46,683.10, 70,024.65 and 15,514.30

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Solution

The fourth proportional to 46,683.10, 70,024.65 and 15,514.30 is: 23,271.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,683.10 : 70,024.65 = 15,514.30 : x
  2. Step 2: Convert to fraction form
    46,683.10/70,024.65 = 15,514.30/x
  3. Step 3: Cross multiply
    46,683.10x = 70,024.65 × 15,514.30
  4. Step 4: Simplify right side
    46,683.10x = 1,086,383,427.50
  5. Step 5: Solve for x
    x = 1,086,383,427.50/46,683.10
  6. Step 6: Final answer
    x = 23,271.45

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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.