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Finding the Fourth Proportional to 92,320.16, 127,410.72 and 58,784

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Solution

The fourth proportional to 92,320.16, 127,410.72 and 58,784 is: 81,127.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,320.16 : 127,410.72 = 58,784 : x
  2. Step 2: Convert to fraction form
    92,320.16/127,410.72 = 58,784/x
  3. Step 3: Cross multiply
    92,320.16x = 127,410.72 × 58,784
  4. Step 4: Simplify right side
    92,320.16x = 7,489,711,764.48
  5. Step 5: Solve for x
    x = 7,489,711,764.48/92,320.16
  6. Step 6: Final answer
    x = 81,127.59

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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.