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Finding the Fourth Proportional to 74,364.96, 102,623.35 and 42,533.81

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Solution

The fourth proportional to 74,364.96, 102,623.35 and 42,533.81 is: 58,696.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,364.96 : 102,623.35 = 42,533.81 : x
  2. Step 2: Convert to fraction form
    74,364.96/102,623.35 = 42,533.81/x
  3. Step 3: Cross multiply
    74,364.96x = 102,623.35 × 42,533.81
  4. Step 4: Simplify right side
    74,364.96x = 4,364,962,070.46
  5. Step 5: Solve for x
    x = 4,364,962,070.46/74,364.96
  6. Step 6: Final answer
    x = 58,696.49

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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.