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Finding the Fourth Proportional to 42,328.66, 58,416.16 and 23,465.78

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Solution

The fourth proportional to 42,328.66, 58,416.16 and 23,465.78 is: 32,384.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,328.66 : 58,416.16 = 23,465.78 : x
  2. Step 2: Convert to fraction form
    42,328.66/58,416.16 = 23,465.78/x
  3. Step 3: Cross multiply
    42,328.66x = 58,416.16 × 23,465.78
  4. Step 4: Simplify right side
    42,328.66x = 1,370,780,759.00
  5. Step 5: Solve for x
    x = 1,370,780,759.00/42,328.66
  6. Step 6: Final answer
    x = 32,384.22

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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.