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Finding the Fourth Proportional to 106,699.98, 160,058.28 and 31,814.40

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Solution

The fourth proportional to 106,699.98, 160,058.28 and 31,814.40 is: 47,724.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,699.98 : 160,058.28 = 31,814.40 : x
  2. Step 2: Convert to fraction form
    106,699.98/160,058.28 = 31,814.40/x
  3. Step 3: Cross multiply
    106,699.98x = 160,058.28 × 31,814.40
  4. Step 4: Simplify right side
    106,699.98x = 5,092,158,143.23
  5. Step 5: Solve for x
    x = 5,092,158,143.23/106,699.98
  6. Step 6: Final answer
    x = 47,724.08

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1.5x scale

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.