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Finding the Fourth Proportional to 46,800.56, 64,564.22 and 27,926.76

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Solution

The fourth proportional to 46,800.56, 64,564.22 and 27,926.76 is: 38,526.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,800.56 : 64,564.22 = 27,926.76 : x
  2. Step 2: Convert to fraction form
    46,800.56/64,564.22 = 27,926.76/x
  3. Step 3: Cross multiply
    46,800.56x = 64,564.22 × 27,926.76
  4. Step 4: Simplify right side
    46,800.56x = 1,803,069,476.53
  5. Step 5: Solve for x
    x = 1,803,069,476.53/46,800.56
  6. Step 6: Final answer
    x = 38,526.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.