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Finding the Fourth Proportional to 42,416, 58,534.08 and 24,752

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Solution

The fourth proportional to 42,416, 58,534.08 and 24,752 is: 34,157.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,416 : 58,534.08 = 24,752 : x
  2. Step 2: Convert to fraction form
    42,416/58,534.08 = 24,752/x
  3. Step 3: Cross multiply
    42,416x = 58,534.08 × 24,752
  4. Step 4: Simplify right side
    42,416x = 1,448,835,548.16
  5. Step 5: Solve for x
    x = 1,448,835,548.16/42,416
  6. Step 6: Final answer
    x = 34,157.76

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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.