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Finding the Fourth Proportional to 55,918, 83,877 and 14,365

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Solution

The fourth proportional to 55,918, 83,877 and 14,365 is: 21,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,918 : 83,877 = 14,365 : x
  2. Step 2: Convert to fraction form
    55,918/83,877 = 14,365/x
  3. Step 3: Cross multiply
    55,918x = 83,877 × 14,365
  4. Step 4: Simplify right side
    55,918x = 1,204,893,105
  5. Step 5: Solve for x
    x = 1,204,893,105/55,918
  6. Step 6: Final answer
    x = 21,547.50

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Why These Related Problems?

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