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Finding the Fourth Proportional to 42,089.76, 58,085.09 and 22,970.76

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Solution

The fourth proportional to 42,089.76, 58,085.09 and 22,970.76 is: 31,700.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,089.76 : 58,085.09 = 22,970.76 : x
  2. Step 2: Convert to fraction form
    42,089.76/58,085.09 = 22,970.76/x
  3. Step 3: Cross multiply
    42,089.76x = 58,085.09 × 22,970.76
  4. Step 4: Simplify right side
    42,089.76x = 1,334,258,505.66
  5. Step 5: Solve for x
    x = 1,334,258,505.66/42,089.76
  6. Step 6: Final answer
    x = 31,700.31

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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.