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Finding the Fourth Proportional to 37,341.66, 56,011.80 and 9,261.78

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Solution

The fourth proportional to 37,341.66, 56,011.80 and 9,261.78 is: 13,892.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,341.66 : 56,011.80 = 9,261.78 : x
  2. Step 2: Convert to fraction form
    37,341.66/56,011.80 = 9,261.78/x
  3. Step 3: Cross multiply
    37,341.66x = 56,011.80 × 9,261.78
  4. Step 4: Simplify right side
    37,341.66x = 518,768,969.00
  5. Step 5: Solve for x
    x = 518,768,969.00/37,341.66
  6. Step 6: Final answer
    x = 13,892.50

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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.