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Finding the Fourth Proportional to 58,731.66, 87,978.33 and 46,905.30

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Solution

The fourth proportional to 58,731.66, 87,978.33 and 46,905.30 is: 70,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,731.66 : 87,978.33 = 46,905.30 : x
  2. Step 2: Convert to fraction form
    58,731.66/87,978.33 = 46,905.30/x
  3. Step 3: Cross multiply
    58,731.66x = 87,978.33 × 46,905.30
  4. Step 4: Simplify right side
    58,731.66x = 4,126,649,962.15
  5. Step 5: Solve for x
    x = 4,126,649,962.15/58,731.66
  6. Step 6: Final answer
    x = 70,262.78

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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.