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Finding the Fourth Proportional to 65,038.02, 89,751.96 and 35,230.02

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Solution

The fourth proportional to 65,038.02, 89,751.96 and 35,230.02 is: 48,617.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,038.02 : 89,751.96 = 35,230.02 : x
  2. Step 2: Convert to fraction form
    65,038.02/89,751.96 = 35,230.02/x
  3. Step 3: Cross multiply
    65,038.02x = 89,751.96 × 35,230.02
  4. Step 4: Simplify right side
    65,038.02x = 3,161,963,345.84
  5. Step 5: Solve for x
    x = 3,161,963,345.84/65,038.02
  6. Step 6: Final answer
    x = 48,617.15

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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.