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Finding the Fourth Proportional to 46,938.63, 70,417.02 and 15,340.17

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Solution

The fourth proportional to 46,938.63, 70,417.02 and 15,340.17 is: 23,013.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,938.63 : 70,417.02 = 15,340.17 : x
  2. Step 2: Convert to fraction form
    46,938.63/70,417.02 = 15,340.17/x
  3. Step 3: Cross multiply
    46,938.63x = 70,417.02 × 15,340.17
  4. Step 4: Simplify right side
    46,938.63x = 1,080,209,057.69
  5. Step 5: Solve for x
    x = 1,080,209,057.69/46,938.63
  6. Step 6: Final answer
    x = 23,013.22

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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.