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Finding the Fourth Proportional to 102,018.94, 153,029.77 and 35,460.32

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Solution

The fourth proportional to 102,018.94, 153,029.77 and 35,460.32 is: 53,190.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,018.94 : 153,029.77 = 35,460.32 : x
  2. Step 2: Convert to fraction form
    102,018.94/153,029.77 = 35,460.32/x
  3. Step 3: Cross multiply
    102,018.94x = 153,029.77 × 35,460.32
  4. Step 4: Simplify right side
    102,018.94x = 5,426,484,907.65
  5. Step 5: Solve for x
    x = 5,426,484,907.65/102,018.94
  6. Step 6: Final answer
    x = 53,190.96

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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.