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Finding the Fourth Proportional to 82,952.50, 114,384 and 56,048.32

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Solution

The fourth proportional to 82,952.50, 114,384 and 56,048.32 is: 77,285.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,952.50 : 114,384 = 56,048.32 : x
  2. Step 2: Convert to fraction form
    82,952.50/114,384 = 56,048.32/x
  3. Step 3: Cross multiply
    82,952.50x = 114,384 × 56,048.32
  4. Step 4: Simplify right side
    82,952.50x = 6,411,031,034.88
  5. Step 5: Solve for x
    x = 6,411,031,034.88/82,952.50
  6. Step 6: Final answer
    x = 77,285.57

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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.