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Finding the Fourth Proportional to 75,316, 112,865 and 41,588.64

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Solution

The fourth proportional to 75,316, 112,865 and 41,588.64 is: 62,322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,316 : 112,865 = 41,588.64 : x
  2. Step 2: Convert to fraction form
    75,316/112,865 = 41,588.64/x
  3. Step 3: Cross multiply
    75,316x = 112,865 × 41,588.64
  4. Step 4: Simplify right side
    75,316x = 4,693,901,853.60
  5. Step 5: Solve for x
    x = 4,693,901,853.60/75,316
  6. Step 6: Final answer
    x = 62,322.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.