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Finding the Fourth Proportional to 46,654.89, 70,022.78 and 24,483.93

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Solution

The fourth proportional to 46,654.89, 70,022.78 and 24,483.93 is: 36,747.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,654.89 : 70,022.78 = 24,483.93 : x
  2. Step 2: Convert to fraction form
    46,654.89/70,022.78 = 24,483.93/x
  3. Step 3: Cross multiply
    46,654.89x = 70,022.78 × 24,483.93
  4. Step 4: Simplify right side
    46,654.89x = 1,714,432,721.51
  5. Step 5: Solve for x
    x = 1,714,432,721.51/46,654.89
  6. Step 6: Final answer
    x = 36,747.12

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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.