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Finding the Fourth Proportional to 83,054.70, 124,577.70 and 23,888.05

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Solution

The fourth proportional to 83,054.70, 124,577.70 and 23,888.05 is: 35,830.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,054.70 : 124,577.70 = 23,888.05 : x
  2. Step 2: Convert to fraction form
    83,054.70/124,577.70 = 23,888.05/x
  3. Step 3: Cross multiply
    83,054.70x = 124,577.70 × 23,888.05
  4. Step 4: Simplify right side
    83,054.70x = 2,975,917,925.46
  5. Step 5: Solve for x
    x = 2,975,917,925.46/83,054.70
  6. Step 6: Final answer
    x = 35,830.82

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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.