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Finding the Fourth Proportional to 42,328.32, 58,415.04 and 23,465.28

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Solution

The fourth proportional to 42,328.32, 58,415.04 and 23,465.28 is: 32,383.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,328.32 : 58,415.04 = 23,465.28 : x
  2. Step 2: Convert to fraction form
    42,328.32/58,415.04 = 23,465.28/x
  3. Step 3: Cross multiply
    42,328.32x = 58,415.04 × 23,465.28
  4. Step 4: Simplify right side
    42,328.32x = 1,370,725,269.81
  5. Step 5: Solve for x
    x = 1,370,725,269.81/42,328.32
  6. Step 6: Final answer
    x = 32,383.17

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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.