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Finding the Fourth Proportional to 46,978.56, 70,430.70 and 23,294.25

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Solution

The fourth proportional to 46,978.56, 70,430.70 and 23,294.25 is: 34,922.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,978.56 : 70,430.70 = 23,294.25 : x
  2. Step 2: Convert to fraction form
    46,978.56/70,430.70 = 23,294.25/x
  3. Step 3: Cross multiply
    46,978.56x = 70,430.70 × 23,294.25
  4. Step 4: Simplify right side
    46,978.56x = 1,640,630,333.48
  5. Step 5: Solve for x
    x = 1,640,630,333.48/46,978.56
  6. Step 6: Final answer
    x = 34,922.96

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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.