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Finding the Fourth Proportional to 70,402.90, 105,604.35 and 46,756.64

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Solution

The fourth proportional to 70,402.90, 105,604.35 and 46,756.64 is: 70,134.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,402.90 : 105,604.35 = 46,756.64 : x
  2. Step 2: Convert to fraction form
    70,402.90/105,604.35 = 46,756.64/x
  3. Step 3: Cross multiply
    70,402.90x = 105,604.35 × 46,756.64
  4. Step 4: Simplify right side
    70,402.90x = 4,937,704,135.03
  5. Step 5: Solve for x
    x = 4,937,704,135.03/70,402.90
  6. Step 6: Final answer
    x = 70,134.95

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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.