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Finding the Fourth Proportional to 62,547.76, 93,825.96 and 20,998

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Solution

The fourth proportional to 62,547.76, 93,825.96 and 20,998 is: 31,498.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,547.76 : 93,825.96 = 20,998 : x
  2. Step 2: Convert to fraction form
    62,547.76/93,825.96 = 20,998/x
  3. Step 3: Cross multiply
    62,547.76x = 93,825.96 × 20,998
  4. Step 4: Simplify right side
    62,547.76x = 1,970,157,508.08
  5. Step 5: Solve for x
    x = 1,970,157,508.08/62,547.76
  6. Step 6: Final answer
    x = 31,498.45

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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.