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Finding the Fourth Proportional to 105,038, 157,582.92 and 31,166

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Solution

The fourth proportional to 105,038, 157,582.92 and 31,166 is: 46,756.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,038 : 157,582.92 = 31,166 : x
  2. Step 2: Convert to fraction form
    105,038/157,582.92 = 31,166/x
  3. Step 3: Cross multiply
    105,038x = 157,582.92 × 31,166
  4. Step 4: Simplify right side
    105,038x = 4,911,229,284.72
  5. Step 5: Solve for x
    x = 4,911,229,284.72/105,038
  6. Step 6: Final answer
    x = 46,756.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.