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Finding the Fourth Proportional to 30,720.50, 46,088.32 and 9,944

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Solution

The fourth proportional to 30,720.50, 46,088.32 and 9,944 is: 14,918.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,720.50 : 46,088.32 = 9,944 : x
  2. Step 2: Convert to fraction form
    30,720.50/46,088.32 = 9,944/x
  3. Step 3: Cross multiply
    30,720.50x = 46,088.32 × 9,944
  4. Step 4: Simplify right side
    30,720.50x = 458,302,254.08
  5. Step 5: Solve for x
    x = 458,302,254.08/30,720.50
  6. Step 6: Final answer
    x = 14,918.45

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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.