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Finding the Fourth Proportional to 102,969.32, 154,347.66 and 58,500.32

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Solution

The fourth proportional to 102,969.32, 154,347.66 and 58,500.32 is: 87,690.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,969.32 : 154,347.66 = 58,500.32 : x
  2. Step 2: Convert to fraction form
    102,969.32/154,347.66 = 58,500.32/x
  3. Step 3: Cross multiply
    102,969.32x = 154,347.66 × 58,500.32
  4. Step 4: Simplify right side
    102,969.32x = 9,029,386,729.51
  5. Step 5: Solve for x
    x = 9,029,386,729.51/102,969.32
  6. Step 6: Final answer
    x = 87,690.07

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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.