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Finding the Fourth Proportional to 103,054.32, 154,552.32 and 46,863

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Solution

The fourth proportional to 103,054.32, 154,552.32 and 46,863 is: 70,281.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,054.32 : 154,552.32 = 46,863 : x
  2. Step 2: Convert to fraction form
    103,054.32/154,552.32 = 46,863/x
  3. Step 3: Cross multiply
    103,054.32x = 154,552.32 × 46,863
  4. Step 4: Simplify right side
    103,054.32x = 7,242,785,372.16
  5. Step 5: Solve for x
    x = 7,242,785,372.16/103,054.32
  6. Step 6: Final answer
    x = 70,281.24

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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.