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Finding the Fourth Proportional to 52,275.65, 72,146.58 and 31,055

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Solution

The fourth proportional to 52,275.65, 72,146.58 and 31,055 is: 42,859.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,275.65 : 72,146.58 = 31,055 : x
  2. Step 2: Convert to fraction form
    52,275.65/72,146.58 = 31,055/x
  3. Step 3: Cross multiply
    52,275.65x = 72,146.58 × 31,055
  4. Step 4: Simplify right side
    52,275.65x = 2,240,512,041.90
  5. Step 5: Solve for x
    x = 2,240,512,041.90/52,275.65
  6. Step 6: Final answer
    x = 42,859.57

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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.