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Finding the Fourth Proportional to 44,210.16, 66,313.08 and 16,506

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Solution

The fourth proportional to 44,210.16, 66,313.08 and 16,506 is: 24,758.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,210.16 : 66,313.08 = 16,506 : x
  2. Step 2: Convert to fraction form
    44,210.16/66,313.08 = 16,506/x
  3. Step 3: Cross multiply
    44,210.16x = 66,313.08 × 16,506
  4. Step 4: Simplify right side
    44,210.16x = 1,094,563,698.48
  5. Step 5: Solve for x
    x = 1,094,563,698.48/44,210.16
  6. Step 6: Final answer
    x = 24,758.19

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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.