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Finding the Fourth Proportional to 76,567.75, 105,663.50 and 43,033.75

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Solution

The fourth proportional to 76,567.75, 105,663.50 and 43,033.75 is: 59,386.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,567.75 : 105,663.50 = 43,033.75 : x
  2. Step 2: Convert to fraction form
    76,567.75/105,663.50 = 43,033.75/x
  3. Step 3: Cross multiply
    76,567.75x = 105,663.50 × 43,033.75
  4. Step 4: Simplify right side
    76,567.75x = 4,547,096,643.13
  5. Step 5: Solve for x
    x = 4,547,096,643.13/76,567.75
  6. Step 6: Final answer
    x = 59,386.58

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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.