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Finding the Fourth Proportional to 47,210.60, 70,931.10 and 35,546.60

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Solution

The fourth proportional to 47,210.60, 70,931.10 and 35,546.60 is: 53,406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,210.60 : 70,931.10 = 35,546.60 : x
  2. Step 2: Convert to fraction form
    47,210.60/70,931.10 = 35,546.60/x
  3. Step 3: Cross multiply
    47,210.60x = 70,931.10 × 35,546.60
  4. Step 4: Simplify right side
    47,210.60x = 2,521,359,439.26
  5. Step 5: Solve for x
    x = 2,521,359,439.26/47,210.60
  6. Step 6: Final answer
    x = 53,406.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.