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Finding the Fourth Proportional to 103,464, 142,780.32 and 58,752

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Solution

The fourth proportional to 103,464, 142,780.32 and 58,752 is: 81,077.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,464 : 142,780.32 = 58,752 : x
  2. Step 2: Convert to fraction form
    103,464/142,780.32 = 58,752/x
  3. Step 3: Cross multiply
    103,464x = 142,780.32 × 58,752
  4. Step 4: Simplify right side
    103,464x = 8,388,629,360.64
  5. Step 5: Solve for x
    x = 8,388,629,360.64/103,464
  6. Step 6: Final answer
    x = 81,077.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.