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Finding the Fourth Proportional to 92,813.25, 128,084.19 and 52,527

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Solution

The fourth proportional to 92,813.25, 128,084.19 and 52,527 is: 72,488.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,813.25 : 128,084.19 = 52,527 : x
  2. Step 2: Convert to fraction form
    92,813.25/128,084.19 = 52,527/x
  3. Step 3: Cross multiply
    92,813.25x = 128,084.19 × 52,527
  4. Step 4: Simplify right side
    92,813.25x = 6,727,878,248.13
  5. Step 5: Solve for x
    x = 6,727,878,248.13/92,813.25
  6. Step 6: Final answer
    x = 72,488.34

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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.