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Finding the Fourth Proportional to 75,950.94, 113,925.93 and 30,972.12

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Solution

The fourth proportional to 75,950.94, 113,925.93 and 30,972.12 is: 46,457.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,950.94 : 113,925.93 = 30,972.12 : x
  2. Step 2: Convert to fraction form
    75,950.94/113,925.93 = 30,972.12/x
  3. Step 3: Cross multiply
    75,950.94x = 113,925.93 × 30,972.12
  4. Step 4: Simplify right side
    75,950.94x = 3,528,527,575.07
  5. Step 5: Solve for x
    x = 3,528,527,575.07/75,950.94
  6. Step 6: Final answer
    x = 46,457.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.