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Finding the Fourth Proportional to 32,686.65, 49,031.51 and 10,212.66

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Solution

The fourth proportional to 32,686.65, 49,031.51 and 10,212.66 is: 15,319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,686.65 : 49,031.51 = 10,212.66 : x
  2. Step 2: Convert to fraction form
    32,686.65/49,031.51 = 10,212.66/x
  3. Step 3: Cross multiply
    32,686.65x = 49,031.51 × 10,212.66
  4. Step 4: Simplify right side
    32,686.65x = 500,742,362.76
  5. Step 5: Solve for x
    x = 500,742,362.76/32,686.65
  6. Step 6: Final answer
    x = 15,319.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.