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Finding the Fourth Proportional to 65,303.38, 90,106.32 and 61,981.57

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Solution

The fourth proportional to 65,303.38, 90,106.32 and 61,981.57 is: 85,522.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,303.38 : 90,106.32 = 61,981.57 : x
  2. Step 2: Convert to fraction form
    65,303.38/90,106.32 = 61,981.57/x
  3. Step 3: Cross multiply
    65,303.38x = 90,106.32 × 61,981.57
  4. Step 4: Simplify right side
    65,303.38x = 5,584,931,180.52
  5. Step 5: Solve for x
    x = 5,584,931,180.52/65,303.38
  6. Step 6: Final answer
    x = 85,522.85

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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.