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Finding the Fourth Proportional to 42,956.66, 59,283.16 and 24,095

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Solution

The fourth proportional to 42,956.66, 59,283.16 and 24,095 is: 33,252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,956.66 : 59,283.16 = 24,095 : x
  2. Step 2: Convert to fraction form
    42,956.66/59,283.16 = 24,095/x
  3. Step 3: Cross multiply
    42,956.66x = 59,283.16 × 24,095
  4. Step 4: Simplify right side
    42,956.66x = 1,428,427,740.20
  5. Step 5: Solve for x
    x = 1,428,427,740.20/42,956.66
  6. Step 6: Final answer
    x = 33,252.77

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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.