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Finding the Fourth Proportional to 42,302.64, 58,259.20 and 41,384.24

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Solution

The fourth proportional to 42,302.64, 58,259.20 and 41,384.24 is: 56,994.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,302.64 : 58,259.20 = 41,384.24 : x
  2. Step 2: Convert to fraction form
    42,302.64/58,259.20 = 41,384.24/x
  3. Step 3: Cross multiply
    42,302.64x = 58,259.20 × 41,384.24
  4. Step 4: Simplify right side
    42,302.64x = 2,411,012,715.01
  5. Step 5: Solve for x
    x = 2,411,012,715.01/42,302.64
  6. Step 6: Final answer
    x = 56,994.38

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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.