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Finding the Fourth Proportional to 42,424.84, 58,547.94 and 29,024.20

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Solution

The fourth proportional to 42,424.84, 58,547.94 and 29,024.20 is: 40,054.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,424.84 : 58,547.94 = 29,024.20 : x
  2. Step 2: Convert to fraction form
    42,424.84/58,547.94 = 29,024.20/x
  3. Step 3: Cross multiply
    42,424.84x = 58,547.94 × 29,024.20
  4. Step 4: Simplify right side
    42,424.84x = 1,699,307,120.15
  5. Step 5: Solve for x
    x = 1,699,307,120.15/42,424.84
  6. Step 6: Final answer
    x = 40,054.53

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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.