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Finding the Fourth Proportional to 42,365.60, 58,439.16 and 28,025.84

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Solution

The fourth proportional to 42,365.60, 58,439.16 and 28,025.84 is: 38,658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,365.60 : 58,439.16 = 28,025.84 : x
  2. Step 2: Convert to fraction form
    42,365.60/58,439.16 = 28,025.84/x
  3. Step 3: Cross multiply
    42,365.60x = 58,439.16 × 28,025.84
  4. Step 4: Simplify right side
    42,365.60x = 1,637,806,547.89
  5. Step 5: Solve for x
    x = 1,637,806,547.89/42,365.60
  6. Step 6: Final answer
    x = 38,658.88

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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.