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Finding the Fourth Proportional to 46,302.84, 69,465.24 and 15,138

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Solution

The fourth proportional to 46,302.84, 69,465.24 and 15,138 is: 22,710.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,302.84 : 69,465.24 = 15,138 : x
  2. Step 2: Convert to fraction form
    46,302.84/69,465.24 = 15,138/x
  3. Step 3: Cross multiply
    46,302.84x = 69,465.24 × 15,138
  4. Step 4: Simplify right side
    46,302.84x = 1,051,564,803.12
  5. Step 5: Solve for x
    x = 1,051,564,803.12/46,302.84
  6. Step 6: Final answer
    x = 22,710.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.