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Finding the Fourth Proportional to 56,113.12, 77,440.86 and 32,248

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Solution

The fourth proportional to 56,113.12, 77,440.86 and 32,248 is: 44,504.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,113.12 : 77,440.86 = 32,248 : x
  2. Step 2: Convert to fraction form
    56,113.12/77,440.86 = 32,248/x
  3. Step 3: Cross multiply
    56,113.12x = 77,440.86 × 32,248
  4. Step 4: Simplify right side
    56,113.12x = 2,497,312,853.28
  5. Step 5: Solve for x
    x = 2,497,312,853.28/56,113.12
  6. Step 6: Final answer
    x = 44,504.97

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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.