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Finding the Fourth Proportional to 101,802.51, 152,703.77 and 31,681.85

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Solution

The fourth proportional to 101,802.51, 152,703.77 and 31,681.85 is: 47,522.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,802.51 : 152,703.77 = 31,681.85 : x
  2. Step 2: Convert to fraction form
    101,802.51/152,703.77 = 31,681.85/x
  3. Step 3: Cross multiply
    101,802.51x = 152,703.77 × 31,681.85
  4. Step 4: Simplify right side
    101,802.51x = 4,837,937,013.65
  5. Step 5: Solve for x
    x = 4,837,937,013.65/101,802.51
  6. Step 6: Final answer
    x = 47,522.77

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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.