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Finding the Fourth Proportional to 31,593,240, 47,389,860 and 7,658,712

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Solution

The fourth proportional to 31,593,240, 47,389,860 and 7,658,712 is: 11,488,068

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,593,240 : 47,389,860 = 7,658,712 : x
  2. Step 2: Convert to fraction form
    31,593,240/47,389,860 = 7,658,712/x
  3. Step 3: Cross multiply
    31,593,240x = 47,389,860 × 7,658,712
  4. Step 4: Simplify right side
    31,593,240x = 362,945,289,460,320
  5. Step 5: Solve for x
    x = 362,945,289,460,320/31,593,240
  6. Step 6: Final answer
    x = 11,488,068

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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.