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Finding the Fourth Proportional to 92,052.40, 137,965.58 and 47,653.86

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Solution

The fourth proportional to 92,052.40, 137,965.58 and 47,653.86 is: 71,422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,052.40 : 137,965.58 = 47,653.86 : x
  2. Step 2: Convert to fraction form
    92,052.40/137,965.58 = 47,653.86/x
  3. Step 3: Cross multiply
    92,052.40x = 137,965.58 × 47,653.86
  4. Step 4: Simplify right side
    92,052.40x = 6,574,592,434.14
  5. Step 5: Solve for x
    x = 6,574,592,434.14/92,052.40
  6. Step 6: Final answer
    x = 71,422.28

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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.