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Finding the Fourth Proportional to 152,952.71, 229,429.06 and 47,779.88

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Solution

The fourth proportional to 152,952.71, 229,429.06 and 47,779.88 is: 71,669.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,952.71 : 229,429.06 = 47,779.88 : x
  2. Step 2: Convert to fraction form
    152,952.71/229,429.06 = 47,779.88/x
  3. Step 3: Cross multiply
    152,952.71x = 229,429.06 × 47,779.88
  4. Step 4: Simplify right side
    152,952.71x = 10,962,091,688.72
  5. Step 5: Solve for x
    x = 10,962,091,688.72/152,952.71
  6. Step 6: Final answer
    x = 71,669.81

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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.