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Finding the Fourth Proportional to 78,184.68, 107,894.88 and 42,374.64

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Solution

The fourth proportional to 78,184.68, 107,894.88 and 42,374.64 is: 58,477.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,184.68 : 107,894.88 = 42,374.64 : x
  2. Step 2: Convert to fraction form
    78,184.68/107,894.88 = 42,374.64/x
  3. Step 3: Cross multiply
    78,184.68x = 107,894.88 × 42,374.64
  4. Step 4: Simplify right side
    78,184.68x = 4,572,006,697.84
  5. Step 5: Solve for x
    x = 4,572,006,697.84/78,184.68
  6. Step 6: Final answer
    x = 58,477.01

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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.