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Finding the Fourth Proportional to 64,700.25, 97,050.42 and 17,953.17

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Solution

The fourth proportional to 64,700.25, 97,050.42 and 17,953.17 is: 26,929.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,700.25 : 97,050.42 = 17,953.17 : x
  2. Step 2: Convert to fraction form
    64,700.25/97,050.42 = 17,953.17/x
  3. Step 3: Cross multiply
    64,700.25x = 97,050.42 × 17,953.17
  4. Step 4: Simplify right side
    64,700.25x = 1,742,362,688.83
  5. Step 5: Solve for x
    x = 1,742,362,688.83/64,700.25
  6. Step 6: Final answer
    x = 26,929.77

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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.