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Finding the Fourth Proportional to 19,537, 29,320.88 and 10,048.93

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Solution

The fourth proportional to 19,537, 29,320.88 and 10,048.93 is: 15,081.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,537 : 29,320.88 = 10,048.93 : x
  2. Step 2: Convert to fraction form
    19,537/29,320.88 = 10,048.93/x
  3. Step 3: Cross multiply
    19,537x = 29,320.88 × 10,048.93
  4. Step 4: Simplify right side
    19,537x = 294,643,470.66
  5. Step 5: Solve for x
    x = 294,643,470.66/19,537
  6. Step 6: Final answer
    x = 15,081.31

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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.