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Finding the Fourth Proportional to 65,300, 90,114.72 and 35,492

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Solution

The fourth proportional to 65,300, 90,114.72 and 35,492 is: 48,979.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,300 : 90,114.72 = 35,492 : x
  2. Step 2: Convert to fraction form
    65,300/90,114.72 = 35,492/x
  3. Step 3: Cross multiply
    65,300x = 90,114.72 × 35,492
  4. Step 4: Simplify right side
    65,300x = 3,198,351,642.24
  5. Step 5: Solve for x
    x = 3,198,351,642.24/65,300
  6. Step 6: Final answer
    x = 48,979.35

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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.