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Finding the Fourth Proportional to 105,032.88, 157,498.16 and 34,888.50

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Solution

The fourth proportional to 105,032.88, 157,498.16 and 34,888.50 is: 52,315.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,032.88 : 157,498.16 = 34,888.50 : x
  2. Step 2: Convert to fraction form
    105,032.88/157,498.16 = 34,888.50/x
  3. Step 3: Cross multiply
    105,032.88x = 157,498.16 × 34,888.50
  4. Step 4: Simplify right side
    105,032.88x = 5,494,874,380.72
  5. Step 5: Solve for x
    x = 5,494,874,380.72/105,032.88
  6. Step 6: Final answer
    x = 52,315.75

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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.