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Finding the Fourth Proportional to 55,994.76, 83,582.46 and 49,352

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Solution

The fourth proportional to 55,994.76, 83,582.46 and 49,352 is: 73,666.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,994.76 : 83,582.46 = 49,352 : x
  2. Step 2: Convert to fraction form
    55,994.76/83,582.46 = 49,352/x
  3. Step 3: Cross multiply
    55,994.76x = 83,582.46 × 49,352
  4. Step 4: Simplify right side
    55,994.76x = 4,124,961,565.92
  5. Step 5: Solve for x
    x = 4,124,961,565.92/55,994.76
  6. Step 6: Final answer
    x = 73,666.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.