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Finding the Fourth Proportional to 56,912.38, 78,547.01 and 31,763.50

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Solution

The fourth proportional to 56,912.38, 78,547.01 and 31,763.50 is: 43,838.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,912.38 : 78,547.01 = 31,763.50 : x
  2. Step 2: Convert to fraction form
    56,912.38/78,547.01 = 31,763.50/x
  3. Step 3: Cross multiply
    56,912.38x = 78,547.01 × 31,763.50
  4. Step 4: Simplify right side
    56,912.38x = 2,494,927,952.14
  5. Step 5: Solve for x
    x = 2,494,927,952.14/56,912.38
  6. Step 6: Final answer
    x = 43,838.05

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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.