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Finding the Fourth Proportional to 74,141.78, 102,315.66 and 40,607.78

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Solution

The fourth proportional to 74,141.78, 102,315.66 and 40,607.78 is: 56,038.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,141.78 : 102,315.66 = 40,607.78 : x
  2. Step 2: Convert to fraction form
    74,141.78/102,315.66 = 40,607.78/x
  3. Step 3: Cross multiply
    74,141.78x = 102,315.66 × 40,607.78
  4. Step 4: Simplify right side
    74,141.78x = 4,154,811,811.83
  5. Step 5: Solve for x
    x = 4,154,811,811.83/74,141.78
  6. Step 6: Final answer
    x = 56,038.74

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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.