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Finding the Fourth Proportional to 105,125, 157,710.54 and 39,461

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Solution

The fourth proportional to 105,125, 157,710.54 and 39,461 is: 59,200.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,125 : 157,710.54 = 39,461 : x
  2. Step 2: Convert to fraction form
    105,125/157,710.54 = 39,461/x
  3. Step 3: Cross multiply
    105,125x = 157,710.54 × 39,461
  4. Step 4: Simplify right side
    105,125x = 6,223,415,618.94
  5. Step 5: Solve for x
    x = 6,223,415,618.94/105,125
  6. Step 6: Final answer
    x = 59,200.15

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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.