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Finding the Fourth Proportional to 84,931.84, 127,398.03 and 25,768

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Solution

The fourth proportional to 84,931.84, 127,398.03 and 25,768 is: 38,652.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,931.84 : 127,398.03 = 25,768 : x
  2. Step 2: Convert to fraction form
    84,931.84/127,398.03 = 25,768/x
  3. Step 3: Cross multiply
    84,931.84x = 127,398.03 × 25,768
  4. Step 4: Simplify right side
    84,931.84x = 3,282,792,437.04
  5. Step 5: Solve for x
    x = 3,282,792,437.04/84,931.84
  6. Step 6: Final answer
    x = 38,652.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.