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Finding the Fourth Proportional to 76,430.35, 114,541.28 and 29,020.06

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Solution

The fourth proportional to 76,430.35, 114,541.28 and 29,020.06 is: 43,490.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,430.35 : 114,541.28 = 29,020.06 : x
  2. Step 2: Convert to fraction form
    76,430.35/114,541.28 = 29,020.06/x
  3. Step 3: Cross multiply
    76,430.35x = 114,541.28 × 29,020.06
  4. Step 4: Simplify right side
    76,430.35x = 3,323,994,818.08
  5. Step 5: Solve for x
    x = 3,323,994,818.08/76,430.35
  6. Step 6: Final answer
    x = 43,490.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.