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Finding the Fourth Proportional to 105,036.50, 145,071.29 and 76,483.82

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Solution

The fourth proportional to 105,036.50, 145,071.29 and 76,483.82 is: 105,635.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,036.50 : 145,071.29 = 76,483.82 : x
  2. Step 2: Convert to fraction form
    105,036.50/145,071.29 = 76,483.82/x
  3. Step 3: Cross multiply
    105,036.50x = 145,071.29 × 76,483.82
  4. Step 4: Simplify right side
    105,036.50x = 11,095,606,431.53
  5. Step 5: Solve for x
    x = 11,095,606,431.53/105,036.50
  6. Step 6: Final answer
    x = 105,635.72

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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.