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Finding the Fourth Proportional to 38,458.71, 53,068.50 and 22,322.30

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Solution

The fourth proportional to 38,458.71, 53,068.50 and 22,322.30 is: 30,802.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,458.71 : 53,068.50 = 22,322.30 : x
  2. Step 2: Convert to fraction form
    38,458.71/53,068.50 = 22,322.30/x
  3. Step 3: Cross multiply
    38,458.71x = 53,068.50 × 22,322.30
  4. Step 4: Simplify right side
    38,458.71x = 1,184,610,712.21
  5. Step 5: Solve for x
    x = 1,184,610,712.21/38,458.71
  6. Step 6: Final answer
    x = 30,802.14

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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.