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Finding the Fourth Proportional to 34,641.76, 47,802.76 and 19,538.16

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Solution

The fourth proportional to 34,641.76, 47,802.76 and 19,538.16 is: 26,961.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,641.76 : 47,802.76 = 19,538.16 : x
  2. Step 2: Convert to fraction form
    34,641.76/47,802.76 = 19,538.16/x
  3. Step 3: Cross multiply
    34,641.76x = 47,802.76 × 19,538.16
  4. Step 4: Simplify right side
    34,641.76x = 933,977,973.32
  5. Step 5: Solve for x
    x = 933,977,973.32/34,641.76
  6. Step 6: Final answer
    x = 26,961.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.