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Finding the Fourth Proportional to 76,536.14, 105,627.08 and 46,328.99

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Solution

The fourth proportional to 76,536.14, 105,627.08 and 46,328.99 is: 63,938.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,536.14 : 105,627.08 = 46,328.99 : x
  2. Step 2: Convert to fraction form
    76,536.14/105,627.08 = 46,328.99/x
  3. Step 3: Cross multiply
    76,536.14x = 105,627.08 × 46,328.99
  4. Step 4: Simplify right side
    76,536.14x = 4,893,595,520.74
  5. Step 5: Solve for x
    x = 4,893,595,520.74/76,536.14
  6. Step 6: Final answer
    x = 63,938.37

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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.