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Finding the Fourth Proportional to 37,482, 56,223.54 and 9,780

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Solution

The fourth proportional to 37,482, 56,223.54 and 9,780 is: 14,670.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,482 : 56,223.54 = 9,780 : x
  2. Step 2: Convert to fraction form
    37,482/56,223.54 = 9,780/x
  3. Step 3: Cross multiply
    37,482x = 56,223.54 × 9,780
  4. Step 4: Simplify right side
    37,482x = 549,866,221.20
  5. Step 5: Solve for x
    x = 549,866,221.20/37,482
  6. Step 6: Final answer
    x = 14,670.14

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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.