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Finding the Fourth Proportional to 30,103.65, 45,155.93 and 11,392.50

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Solution

The fourth proportional to 30,103.65, 45,155.93 and 11,392.50 is: 17,088.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,103.65 : 45,155.93 = 11,392.50 : x
  2. Step 2: Convert to fraction form
    30,103.65/45,155.93 = 11,392.50/x
  3. Step 3: Cross multiply
    30,103.65x = 45,155.93 × 11,392.50
  4. Step 4: Simplify right side
    30,103.65x = 514,438,854.98
  5. Step 5: Solve for x
    x = 514,438,854.98/30,103.65
  6. Step 6: Final answer
    x = 17,088.92

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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.