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Finding the Fourth Proportional to 117,803.46, 176,704.35 and 47,681.76

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Solution

The fourth proportional to 117,803.46, 176,704.35 and 47,681.76 is: 71,522.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,803.46 : 176,704.35 = 47,681.76 : x
  2. Step 2: Convert to fraction form
    117,803.46/176,704.35 = 47,681.76/x
  3. Step 3: Cross multiply
    117,803.46x = 176,704.35 × 47,681.76
  4. Step 4: Simplify right side
    117,803.46x = 8,425,574,407.66
  5. Step 5: Solve for x
    x = 8,425,574,407.66/117,803.46
  6. Step 6: Final answer
    x = 71,522.30

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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.