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Finding the Fourth Proportional to 56,038.84, 77,303.54 and 35,874.02

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Solution

The fourth proportional to 56,038.84, 77,303.54 and 35,874.02 is: 49,486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,038.84 : 77,303.54 = 35,874.02 : x
  2. Step 2: Convert to fraction form
    56,038.84/77,303.54 = 35,874.02/x
  3. Step 3: Cross multiply
    56,038.84x = 77,303.54 × 35,874.02
  4. Step 4: Simplify right side
    56,038.84x = 2,773,188,560.66
  5. Step 5: Solve for x
    x = 2,773,188,560.66/56,038.84
  6. Step 6: Final answer
    x = 49,486.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.