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Finding the Fourth Proportional to 46,285.76, 69,417.82 and 13,009.03

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Solution

The fourth proportional to 46,285.76, 69,417.82 and 13,009.03 is: 19,510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,285.76 : 69,417.82 = 13,009.03 : x
  2. Step 2: Convert to fraction form
    46,285.76/69,417.82 = 13,009.03/x
  3. Step 3: Cross multiply
    46,285.76x = 69,417.82 × 13,009.03
  4. Step 4: Simplify right side
    46,285.76x = 903,058,502.91
  5. Step 5: Solve for x
    x = 903,058,502.91/46,285.76
  6. Step 6: Final answer
    x = 19,510.50

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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.