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Finding the Fourth Proportional to 56,166, 77,509.08 and 36,294

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Solution

The fourth proportional to 56,166, 77,509.08 and 36,294 is: 50,085.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,166 : 77,509.08 = 36,294 : x
  2. Step 2: Convert to fraction form
    56,166/77,509.08 = 36,294/x
  3. Step 3: Cross multiply
    56,166x = 77,509.08 × 36,294
  4. Step 4: Simplify right side
    56,166x = 2,813,114,549.52
  5. Step 5: Solve for x
    x = 2,813,114,549.52/56,166
  6. Step 6: Final answer
    x = 50,085.72

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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.