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Finding the Fourth Proportional to 70,468.08, 105,494.76 and 47,036.40

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Solution

The fourth proportional to 70,468.08, 105,494.76 and 47,036.40 is: 70,416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,468.08 : 105,494.76 = 47,036.40 : x
  2. Step 2: Convert to fraction form
    70,468.08/105,494.76 = 47,036.40/x
  3. Step 3: Cross multiply
    70,468.08x = 105,494.76 × 47,036.40
  4. Step 4: Simplify right side
    70,468.08x = 4,962,093,729.26
  5. Step 5: Solve for x
    x = 4,962,093,729.26/70,468.08
  6. Step 6: Final answer
    x = 70,416.19

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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.