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Finding the Fourth Proportional to 96,376.95, 144,482.27 and 46,388.30

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Solution

The fourth proportional to 96,376.95, 144,482.27 and 46,388.30 is: 69,542.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,376.95 : 144,482.27 = 46,388.30 : x
  2. Step 2: Convert to fraction form
    96,376.95/144,482.27 = 46,388.30/x
  3. Step 3: Cross multiply
    96,376.95x = 144,482.27 × 46,388.30
  4. Step 4: Simplify right side
    96,376.95x = 6,702,285,931.09
  5. Step 5: Solve for x
    x = 6,702,285,931.09/96,376.95
  6. Step 6: Final answer
    x = 69,542.42

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Why These Related Problems?

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