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Finding the Fourth Proportional to 77,449.35, 116,075.60 and 42,348

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Solution

The fourth proportional to 77,449.35, 116,075.60 and 42,348 is: 63,468.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,449.35 : 116,075.60 = 42,348 : x
  2. Step 2: Convert to fraction form
    77,449.35/116,075.60 = 42,348/x
  3. Step 3: Cross multiply
    77,449.35x = 116,075.60 × 42,348
  4. Step 4: Simplify right side
    77,449.35x = 4,915,569,614.67
  5. Step 5: Solve for x
    x = 4,915,569,614.67/77,449.35
  6. Step 6: Final answer
    x = 63,468.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.