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Finding the Fourth Proportional to 76,123.70, 105,048.60 and 42,131.34

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Solution

The fourth proportional to 76,123.70, 105,048.60 and 42,131.34 is: 58,140.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,123.70 : 105,048.60 = 42,131.34 : x
  2. Step 2: Convert to fraction form
    76,123.70/105,048.60 = 42,131.34/x
  3. Step 3: Cross multiply
    76,123.70x = 105,048.60 × 42,131.34
  4. Step 4: Simplify right side
    76,123.70x = 4,425,838,125.13
  5. Step 5: Solve for x
    x = 4,425,838,125.13/76,123.70
  6. Step 6: Final answer
    x = 58,140.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.