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Finding the Fourth Proportional to 142,527.83, 213,798.63 and 37,346.90

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Solution

The fourth proportional to 142,527.83, 213,798.63 and 37,346.90 is: 56,022.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,527.83 : 213,798.63 = 37,346.90 : x
  2. Step 2: Convert to fraction form
    142,527.83/213,798.63 = 37,346.90/x
  3. Step 3: Cross multiply
    142,527.83x = 213,798.63 × 37,346.90
  4. Step 4: Simplify right side
    142,527.83x = 7,984,716,054.75
  5. Step 5: Solve for x
    x = 7,984,716,054.75/142,527.83
  6. Step 6: Final answer
    x = 56,022.15

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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.