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Finding the Fourth Proportional to 37,543.31, 51,809.31 and 20,547.38

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Solution

The fourth proportional to 37,543.31, 51,809.31 and 20,547.38 is: 28,355.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,543.31 : 51,809.31 = 20,547.38 : x
  2. Step 2: Convert to fraction form
    37,543.31/51,809.31 = 20,547.38/x
  3. Step 3: Cross multiply
    37,543.31x = 51,809.31 × 20,547.38
  4. Step 4: Simplify right side
    37,543.31x = 1,064,545,580.11
  5. Step 5: Solve for x
    x = 1,064,545,580.11/37,543.31
  6. Step 6: Final answer
    x = 28,355.13

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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.