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Finding the Fourth Proportional to 127,335, 191,002.50 and 39,783

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Solution

The fourth proportional to 127,335, 191,002.50 and 39,783 is: 59,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,335 : 191,002.50 = 39,783 : x
  2. Step 2: Convert to fraction form
    127,335/191,002.50 = 39,783/x
  3. Step 3: Cross multiply
    127,335x = 191,002.50 × 39,783
  4. Step 4: Simplify right side
    127,335x = 7,598,652,457.50
  5. Step 5: Solve for x
    x = 7,598,652,457.50/127,335
  6. Step 6: Final answer
    x = 59,674.50

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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.