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Finding the Fourth Proportional to 31,059.84, 46,584 and 10,280.64

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Solution

The fourth proportional to 31,059.84, 46,584 and 10,280.64 is: 15,419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,059.84 : 46,584 = 10,280.64 : x
  2. Step 2: Convert to fraction form
    31,059.84/46,584 = 10,280.64/x
  3. Step 3: Cross multiply
    31,059.84x = 46,584 × 10,280.64
  4. Step 4: Simplify right side
    31,059.84x = 478,913,333.76
  5. Step 5: Solve for x
    x = 478,913,333.76/31,059.84
  6. Step 6: Final answer
    x = 15,419.05

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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.