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Finding the Fourth Proportional to 65,088.32, 89,821.60 and 35,280.32

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Solution

The fourth proportional to 65,088.32, 89,821.60 and 35,280.32 is: 48,686.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,088.32 : 89,821.60 = 35,280.32 : x
  2. Step 2: Convert to fraction form
    65,088.32/89,821.60 = 35,280.32/x
  3. Step 3: Cross multiply
    65,088.32x = 89,821.60 × 35,280.32
  4. Step 4: Simplify right side
    65,088.32x = 3,168,934,790.91
  5. Step 5: Solve for x
    x = 3,168,934,790.91/65,088.32
  6. Step 6: Final answer
    x = 48,686.69

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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.