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Finding the Fourth Proportional to 41,059.32, 56,666.93 and 23,154

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Solution

The fourth proportional to 41,059.32, 56,666.93 and 23,154 is: 31,955.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,059.32 : 56,666.93 = 23,154 : x
  2. Step 2: Convert to fraction form
    41,059.32/56,666.93 = 23,154/x
  3. Step 3: Cross multiply
    41,059.32x = 56,666.93 × 23,154
  4. Step 4: Simplify right side
    41,059.32x = 1,312,065,981.45
  5. Step 5: Solve for x
    x = 1,312,065,981.45/41,059.32
  6. Step 6: Final answer
    x = 31,955.38

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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.