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Finding the Fourth Proportional to 78,513.94, 108,313.50 and 46,664.74

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Solution

The fourth proportional to 78,513.94, 108,313.50 and 46,664.74 is: 64,376.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,513.94 : 108,313.50 = 46,664.74 : x
  2. Step 2: Convert to fraction form
    78,513.94/108,313.50 = 46,664.74/x
  3. Step 3: Cross multiply
    78,513.94x = 108,313.50 × 46,664.74
  4. Step 4: Simplify right side
    78,513.94x = 5,054,421,315.99
  5. Step 5: Solve for x
    x = 5,054,421,315.99/78,513.94
  6. Step 6: Final answer
    x = 64,376.10

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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.