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Finding the Fourth Proportional to 102,348.64, 153,406.32 and 46,828

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Solution

The fourth proportional to 102,348.64, 153,406.32 and 46,828 is: 70,188.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,348.64 : 153,406.32 = 46,828 : x
  2. Step 2: Convert to fraction form
    102,348.64/153,406.32 = 46,828/x
  3. Step 3: Cross multiply
    102,348.64x = 153,406.32 × 46,828
  4. Step 4: Simplify right side
    102,348.64x = 7,183,711,152.96
  5. Step 5: Solve for x
    x = 7,183,711,152.96/102,348.64
  6. Step 6: Final answer
    x = 70,188.63

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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.