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Finding the Fourth Proportional to 103,129.92, 154,606.65 and 46,949.94

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Solution

The fourth proportional to 103,129.92, 154,606.65 and 46,949.94 is: 70,384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,129.92 : 154,606.65 = 46,949.94 : x
  2. Step 2: Convert to fraction form
    103,129.92/154,606.65 = 46,949.94/x
  3. Step 3: Cross multiply
    103,129.92x = 154,606.65 × 46,949.94
  4. Step 4: Simplify right side
    103,129.92x = 7,258,772,941.10
  5. Step 5: Solve for x
    x = 7,258,772,941.10/103,129.92
  6. Step 6: Final answer
    x = 70,384.74

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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.