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Finding the Fourth Proportional to 65,088, 89,821.50 and 35,280

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Solution

The fourth proportional to 65,088, 89,821.50 and 35,280 is: 48,686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,088 : 89,821.50 = 35,280 : x
  2. Step 2: Convert to fraction form
    65,088/89,821.50 = 35,280/x
  3. Step 3: Cross multiply
    65,088x = 89,821.50 × 35,280
  4. Step 4: Simplify right side
    65,088x = 3,168,902,520
  5. Step 5: Solve for x
    x = 3,168,902,520/65,088
  6. Step 6: Final answer
    x = 48,686.43

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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.