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Finding the Fourth Proportional to 82,988.32, 114,433.12 and 56,084.16

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Solution

The fourth proportional to 82,988.32, 114,433.12 and 56,084.16 is: 77,334.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,988.32 : 114,433.12 = 56,084.16 : x
  2. Step 2: Convert to fraction form
    82,988.32/114,433.12 = 56,084.16/x
  3. Step 3: Cross multiply
    82,988.32x = 114,433.12 × 56,084.16
  4. Step 4: Simplify right side
    82,988.32x = 6,417,885,411.38
  5. Step 5: Solve for x
    x = 6,417,885,411.38/82,988.32
  6. Step 6: Final answer
    x = 77,334.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.