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Finding the Fourth Proportional to 112,857.24, 169,363.76 and 38,985.24

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Solution

The fourth proportional to 112,857.24, 169,363.76 and 38,985.24 is: 58,504.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,857.24 : 169,363.76 = 38,985.24 : x
  2. Step 2: Convert to fraction form
    112,857.24/169,363.76 = 38,985.24/x
  3. Step 3: Cross multiply
    112,857.24x = 169,363.76 × 38,985.24
  4. Step 4: Simplify right side
    112,857.24x = 6,602,686,830.90
  5. Step 5: Solve for x
    x = 6,602,686,830.90/112,857.24
  6. Step 6: Final answer
    x = 58,504.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.