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Finding the Fourth Proportional to 105,700.49, 145,865.57 and 57,953.72

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Solution

The fourth proportional to 105,700.49, 145,865.57 and 57,953.72 is: 79,975.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,700.49 : 145,865.57 = 57,953.72 : x
  2. Step 2: Convert to fraction form
    105,700.49/145,865.57 = 57,953.72/x
  3. Step 3: Cross multiply
    105,700.49x = 145,865.57 × 57,953.72
  4. Step 4: Simplify right side
    105,700.49x = 8,453,452,111.65
  5. Step 5: Solve for x
    x = 8,453,452,111.65/105,700.49
  6. Step 6: Final answer
    x = 79,975.52

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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.