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Finding the Fourth Proportional to 74,258.70, 102,482.44 and 42,426.92

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Solution

The fourth proportional to 74,258.70, 102,482.44 and 42,426.92 is: 58,552.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,258.70 : 102,482.44 = 42,426.92 : x
  2. Step 2: Convert to fraction form
    74,258.70/102,482.44 = 42,426.92/x
  3. Step 3: Cross multiply
    74,258.70x = 102,482.44 × 42,426.92
  4. Step 4: Simplify right side
    74,258.70x = 4,348,013,664.81
  5. Step 5: Solve for x
    x = 4,348,013,664.81/74,258.70
  6. Step 6: Final answer
    x = 58,552.25

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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.