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Finding the Fourth Proportional to 50,849.94, 70,095.14 and 35,700.10

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Solution

The fourth proportional to 50,849.94, 70,095.14 and 35,700.10 is: 49,211.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,849.94 : 70,095.14 = 35,700.10 : x
  2. Step 2: Convert to fraction form
    50,849.94/70,095.14 = 35,700.10/x
  3. Step 3: Cross multiply
    50,849.94x = 70,095.14 × 35,700.10
  4. Step 4: Simplify right side
    50,849.94x = 2,502,403,507.51
  5. Step 5: Solve for x
    x = 2,502,403,507.51/50,849.94
  6. Step 6: Final answer
    x = 49,211.53

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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.