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Finding the Fourth Proportional to 54,698, 75,483.31 and 29,547.50

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Solution

The fourth proportional to 54,698, 75,483.31 and 29,547.50 is: 40,775.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,698 : 75,483.31 = 29,547.50 : x
  2. Step 2: Convert to fraction form
    54,698/75,483.31 = 29,547.50/x
  3. Step 3: Cross multiply
    54,698x = 75,483.31 × 29,547.50
  4. Step 4: Simplify right side
    54,698x = 2,230,343,102.23
  5. Step 5: Solve for x
    x = 2,230,343,102.23/54,698
  6. Step 6: Final answer
    x = 40,775.59

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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.