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Finding the Fourth Proportional to 55,336, 76,363.68 and 35,464

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Solution

The fourth proportional to 55,336, 76,363.68 and 35,464 is: 48,940.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,336 : 76,363.68 = 35,464 : x
  2. Step 2: Convert to fraction form
    55,336/76,363.68 = 35,464/x
  3. Step 3: Cross multiply
    55,336x = 76,363.68 × 35,464
  4. Step 4: Simplify right side
    55,336x = 2,708,161,547.52
  5. Step 5: Solve for x
    x = 2,708,161,547.52/55,336
  6. Step 6: Final answer
    x = 48,940.32

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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.