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Finding the Fourth Proportional to 78,346.18, 108,119.55 and 46,515.16

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Solution

The fourth proportional to 78,346.18, 108,119.55 and 46,515.16 is: 64,192.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,346.18 : 108,119.55 = 46,515.16 : x
  2. Step 2: Convert to fraction form
    78,346.18/108,119.55 = 46,515.16/x
  3. Step 3: Cross multiply
    78,346.18x = 108,119.55 × 46,515.16
  4. Step 4: Simplify right side
    78,346.18x = 5,029,198,167.38
  5. Step 5: Solve for x
    x = 5,029,198,167.38/78,346.18
  6. Step 6: Final answer
    x = 64,192.00

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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.