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Finding the Fourth Proportional to 77,527.68, 106,999.90 and 47,330.61

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Solution

The fourth proportional to 77,527.68, 106,999.90 and 47,330.61 is: 65,323.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,527.68 : 106,999.90 = 47,330.61 : x
  2. Step 2: Convert to fraction form
    77,527.68/106,999.90 = 47,330.61/x
  3. Step 3: Cross multiply
    77,527.68x = 106,999.90 × 47,330.61
  4. Step 4: Simplify right side
    77,527.68x = 5,064,370,283.60
  5. Step 5: Solve for x
    x = 5,064,370,283.60/77,527.68
  6. Step 6: Final answer
    x = 65,323.39

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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.