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Finding the Fourth Proportional to 65,298.30, 97,947.45 and 41,970.30

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Solution

The fourth proportional to 65,298.30, 97,947.45 and 41,970.30 is: 62,955.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,298.30 : 97,947.45 = 41,970.30 : x
  2. Step 2: Convert to fraction form
    65,298.30/97,947.45 = 41,970.30/x
  3. Step 3: Cross multiply
    65,298.30x = 97,947.45 × 41,970.30
  4. Step 4: Simplify right side
    65,298.30x = 4,110,883,860.74
  5. Step 5: Solve for x
    x = 4,110,883,860.74/65,298.30
  6. Step 6: Final answer
    x = 62,955.45

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1.5x scale

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.