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Finding the Fourth Proportional to 31,138.72, 46,681.98 and 13,595.20

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Solution

The fourth proportional to 31,138.72, 46,681.98 and 13,595.20 is: 20,381.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,138.72 : 46,681.98 = 13,595.20 : x
  2. Step 2: Convert to fraction form
    31,138.72/46,681.98 = 13,595.20/x
  3. Step 3: Cross multiply
    31,138.72x = 46,681.98 × 13,595.20
  4. Step 4: Simplify right side
    31,138.72x = 634,650,854.50
  5. Step 5: Solve for x
    x = 634,650,854.50/31,138.72
  6. Step 6: Final answer
    x = 20,381.40

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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.