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Finding the Fourth Proportional to 56,271, 77,653.98 and 31,122.12

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Solution

The fourth proportional to 56,271, 77,653.98 and 31,122.12 is: 42,948.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,271 : 77,653.98 = 31,122.12 : x
  2. Step 2: Convert to fraction form
    56,271/77,653.98 = 31,122.12/x
  3. Step 3: Cross multiply
    56,271x = 77,653.98 × 31,122.12
  4. Step 4: Simplify right side
    56,271x = 2,416,756,484.04
  5. Step 5: Solve for x
    x = 2,416,756,484.04/56,271
  6. Step 6: Final answer
    x = 42,948.53

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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.