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Finding the Fourth Proportional to 114,808.96, 172,223.28 and 31,702.96

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Solution

The fourth proportional to 114,808.96, 172,223.28 and 31,702.96 is: 47,557.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,808.96 : 172,223.28 = 31,702.96 : x
  2. Step 2: Convert to fraction form
    114,808.96/172,223.28 = 31,702.96/x
  3. Step 3: Cross multiply
    114,808.96x = 172,223.28 × 31,702.96
  4. Step 4: Simplify right side
    114,808.96x = 5,459,987,756.91
  5. Step 5: Solve for x
    x = 5,459,987,756.91/114,808.96
  6. Step 6: Final answer
    x = 47,557.16

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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.