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Finding the Fourth Proportional to 70,320, 105,497.28 and 21,072

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Solution

The fourth proportional to 70,320, 105,497.28 and 21,072 is: 31,613.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,320 : 105,497.28 = 21,072 : x
  2. Step 2: Convert to fraction form
    70,320/105,497.28 = 21,072/x
  3. Step 3: Cross multiply
    70,320x = 105,497.28 × 21,072
  4. Step 4: Simplify right side
    70,320x = 2,223,038,684.16
  5. Step 5: Solve for x
    x = 2,223,038,684.16/70,320
  6. Step 6: Final answer
    x = 31,613.18

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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.