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Finding the Fourth Proportional to 78,124.88, 107,812.32 and 42,314.60

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Solution

The fourth proportional to 78,124.88, 107,812.32 and 42,314.60 is: 58,394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,124.88 : 107,812.32 = 42,314.60 : x
  2. Step 2: Convert to fraction form
    78,124.88/107,812.32 = 42,314.60/x
  3. Step 3: Cross multiply
    78,124.88x = 107,812.32 × 42,314.60
  4. Step 4: Simplify right side
    78,124.88x = 4,562,035,195.87
  5. Step 5: Solve for x
    x = 4,562,035,195.87/78,124.88
  6. Step 6: Final answer
    x = 58,394.14

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1.5x scale

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.