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Finding the Fourth Proportional to 29,702.16, 44,549.52 and 9,709.98

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Solution

The fourth proportional to 29,702.16, 44,549.52 and 9,709.98 is: 14,563.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,702.16 : 44,549.52 = 9,709.98 : x
  2. Step 2: Convert to fraction form
    29,702.16/44,549.52 = 9,709.98/x
  3. Step 3: Cross multiply
    29,702.16x = 44,549.52 × 9,709.98
  4. Step 4: Simplify right side
    29,702.16x = 432,574,744.74
  5. Step 5: Solve for x
    x = 432,574,744.74/29,702.16
  6. Step 6: Final answer
    x = 14,563.75

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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.