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Finding the Fourth Proportional to 51,762.40, 71,430.45 and 29,102.34

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Solution

The fourth proportional to 51,762.40, 71,430.45 and 29,102.34 is: 40,160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,762.40 : 71,430.45 = 29,102.34 : x
  2. Step 2: Convert to fraction form
    51,762.40/71,430.45 = 29,102.34/x
  3. Step 3: Cross multiply
    51,762.40x = 71,430.45 × 29,102.34
  4. Step 4: Simplify right side
    51,762.40x = 2,078,793,242.25
  5. Step 5: Solve for x
    x = 2,078,793,242.25/51,762.40
  6. Step 6: Final answer
    x = 40,160.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.