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Finding the Fourth Proportional to 58,428.94, 80,637.96 and 35,782.96

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Solution

The fourth proportional to 58,428.94, 80,637.96 and 35,782.96 is: 49,384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,428.94 : 80,637.96 = 35,782.96 : x
  2. Step 2: Convert to fraction form
    58,428.94/80,637.96 = 35,782.96/x
  3. Step 3: Cross multiply
    58,428.94x = 80,637.96 × 35,782.96
  4. Step 4: Simplify right side
    58,428.94x = 2,885,464,897.16
  5. Step 5: Solve for x
    x = 2,885,464,897.16/58,428.94
  6. Step 6: Final answer
    x = 49,384.17

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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.