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Finding the Fourth Proportional to 89,894.46, 123,985.70 and 55,904.38

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Solution

The fourth proportional to 89,894.46, 123,985.70 and 55,904.38 is: 77,105.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,894.46 : 123,985.70 = 55,904.38 : x
  2. Step 2: Convert to fraction form
    89,894.46/123,985.70 = 55,904.38/x
  3. Step 3: Cross multiply
    89,894.46x = 123,985.70 × 55,904.38
  4. Step 4: Simplify right side
    89,894.46x = 6,931,343,621.98
  5. Step 5: Solve for x
    x = 6,931,343,621.98/89,894.46
  6. Step 6: Final answer
    x = 77,105.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.