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Finding the Fourth Proportional to 65,368, 90,207.84 and 35,560

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Solution

The fourth proportional to 65,368, 90,207.84 and 35,560 is: 49,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,368 : 90,207.84 = 35,560 : x
  2. Step 2: Convert to fraction form
    65,368/90,207.84 = 35,560/x
  3. Step 3: Cross multiply
    65,368x = 90,207.84 × 35,560
  4. Step 4: Simplify right side
    65,368x = 3,207,790,790.40
  5. Step 5: Solve for x
    x = 3,207,790,790.40/65,368
  6. Step 6: Final answer
    x = 49,072.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.