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Finding the Fourth Proportional to 105,992.08, 158,988.12 and 46,888

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Solution

The fourth proportional to 105,992.08, 158,988.12 and 46,888 is: 70,332

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,992.08 : 158,988.12 = 46,888 : x
  2. Step 2: Convert to fraction form
    105,992.08/158,988.12 = 46,888/x
  3. Step 3: Cross multiply
    105,992.08x = 158,988.12 × 46,888
  4. Step 4: Simplify right side
    105,992.08x = 7,454,634,970.56
  5. Step 5: Solve for x
    x = 7,454,634,970.56/105,992.08
  6. Step 6: Final answer
    x = 70,332

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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.