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Finding the Fourth Proportional to 76,548, 105,646.14 and 43,014

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Solution

The fourth proportional to 76,548, 105,646.14 and 43,014 is: 59,364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,548 : 105,646.14 = 43,014 : x
  2. Step 2: Convert to fraction form
    76,548/105,646.14 = 43,014/x
  3. Step 3: Cross multiply
    76,548x = 105,646.14 × 43,014
  4. Step 4: Simplify right side
    76,548x = 4,544,263,065.96
  5. Step 5: Solve for x
    x = 4,544,263,065.96/76,548
  6. Step 6: Final answer
    x = 59,364.88

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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.