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Finding the Fourth Proportional to 49,316, 68,056.32 and 26,960

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Solution

The fourth proportional to 49,316, 68,056.32 and 26,960 is: 37,204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,316 : 68,056.32 = 26,960 : x
  2. Step 2: Convert to fraction form
    49,316/68,056.32 = 26,960/x
  3. Step 3: Cross multiply
    49,316x = 68,056.32 × 26,960
  4. Step 4: Simplify right side
    49,316x = 1,834,798,387.20
  5. Step 5: Solve for x
    x = 1,834,798,387.20/49,316
  6. Step 6: Final answer
    x = 37,204.93

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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.