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Finding the Fourth Proportional to 31,064.51, 46,588.95 and 8,878.01

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Solution

The fourth proportional to 31,064.51, 46,588.95 and 8,878.01 is: 13,314.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,064.51 : 46,588.95 = 8,878.01 : x
  2. Step 2: Convert to fraction form
    31,064.51/46,588.95 = 8,878.01/x
  3. Step 3: Cross multiply
    31,064.51x = 46,588.95 × 8,878.01
  4. Step 4: Simplify right side
    31,064.51x = 413,616,931.04
  5. Step 5: Solve for x
    x = 413,616,931.04/31,064.51
  6. Step 6: Final answer
    x = 13,314.77

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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.