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Finding the Fourth Proportional to 97,039.95, 133,913.74 and 54,598.38

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Solution

The fourth proportional to 97,039.95, 133,913.74 and 54,598.38 is: 75,344.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,039.95 : 133,913.74 = 54,598.38 : x
  2. Step 2: Convert to fraction form
    97,039.95/133,913.74 = 54,598.38/x
  3. Step 3: Cross multiply
    97,039.95x = 133,913.74 × 54,598.38
  4. Step 4: Simplify right side
    97,039.95x = 7,311,473,263.74
  5. Step 5: Solve for x
    x = 7,311,473,263.74/97,039.95
  6. Step 6: Final answer
    x = 75,344.98

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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.