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Finding the Fourth Proportional to 40,454, 55,824.72 and 22,549.76

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Solution

The fourth proportional to 40,454, 55,824.72 and 22,549.76 is: 31,117.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,454 : 55,824.72 = 22,549.76 : x
  2. Step 2: Convert to fraction form
    40,454/55,824.72 = 22,549.76/x
  3. Step 3: Cross multiply
    40,454x = 55,824.72 × 22,549.76
  4. Step 4: Simplify right side
    40,454x = 1,258,834,038.07
  5. Step 5: Solve for x
    x = 1,258,834,038.07/40,454
  6. Step 6: Final answer
    x = 31,117.67

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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.