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Finding the Fourth Proportional to 76,547, 105,644.76 and 43,013

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Solution

The fourth proportional to 76,547, 105,644.76 and 43,013 is: 59,363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,547 : 105,644.76 = 43,013 : x
  2. Step 2: Convert to fraction form
    76,547/105,644.76 = 43,013/x
  3. Step 3: Cross multiply
    76,547x = 105,644.76 × 43,013
  4. Step 4: Simplify right side
    76,547x = 4,544,098,061.88
  5. Step 5: Solve for x
    x = 4,544,098,061.88/76,547
  6. Step 6: Final answer
    x = 59,363.50

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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.