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Finding the Fourth Proportional to 118,482.90, 177,724.32 and 47,437.50

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Solution

The fourth proportional to 118,482.90, 177,724.32 and 47,437.50 is: 71,156.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,482.90 : 177,724.32 = 47,437.50 : x
  2. Step 2: Convert to fraction form
    118,482.90/177,724.32 = 47,437.50/x
  3. Step 3: Cross multiply
    118,482.90x = 177,724.32 × 47,437.50
  4. Step 4: Simplify right side
    118,482.90x = 8,430,797,430
  5. Step 5: Solve for x
    x = 8,430,797,430/118,482.90
  6. Step 6: Final answer
    x = 71,156.24

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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.