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Finding the Fourth Proportional to 58,830.64, 81,186.79 and 31,973.14

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Solution

The fourth proportional to 58,830.64, 81,186.79 and 31,973.14 is: 44,123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,830.64 : 81,186.79 = 31,973.14 : x
  2. Step 2: Convert to fraction form
    58,830.64/81,186.79 = 31,973.14/x
  3. Step 3: Cross multiply
    58,830.64x = 81,186.79 × 31,973.14
  4. Step 4: Simplify right side
    58,830.64x = 2,595,796,602.82
  5. Step 5: Solve for x
    x = 2,595,796,602.82/58,830.64
  6. Step 6: Final answer
    x = 44,123.21

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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.