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Finding the Fourth Proportional to 76,038.16, 104,923.50 and 42,042.06

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Solution

The fourth proportional to 76,038.16, 104,923.50 and 42,042.06 is: 58,012.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,038.16 : 104,923.50 = 42,042.06 : x
  2. Step 2: Convert to fraction form
    76,038.16/104,923.50 = 42,042.06/x
  3. Step 3: Cross multiply
    76,038.16x = 104,923.50 × 42,042.06
  4. Step 4: Simplify right side
    76,038.16x = 4,411,200,082.41
  5. Step 5: Solve for x
    x = 4,411,200,082.41/76,038.16
  6. Step 6: Final answer
    x = 58,012.98

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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.