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Finding the Fourth Proportional to 78,340.39, 108,075.05 and 46,490.84

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Solution

The fourth proportional to 78,340.39, 108,075.05 and 46,490.84 is: 64,136.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,340.39 : 108,075.05 = 46,490.84 : x
  2. Step 2: Convert to fraction form
    78,340.39/108,075.05 = 46,490.84/x
  3. Step 3: Cross multiply
    78,340.39x = 108,075.05 × 46,490.84
  4. Step 4: Simplify right side
    78,340.39x = 5,024,499,295.00
  5. Step 5: Solve for x
    x = 5,024,499,295.00/78,340.39
  6. Step 6: Final answer
    x = 64,136.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.