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Finding the Fourth Proportional to 64,700.14, 97,050.18 and 17,953

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Solution

The fourth proportional to 64,700.14, 97,050.18 and 17,953 is: 26,929.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,700.14 : 97,050.18 = 17,953 : x
  2. Step 2: Convert to fraction form
    64,700.14/97,050.18 = 17,953/x
  3. Step 3: Cross multiply
    64,700.14x = 97,050.18 × 17,953
  4. Step 4: Simplify right side
    64,700.14x = 1,742,341,881.54
  5. Step 5: Solve for x
    x = 1,742,341,881.54/64,700.14
  6. Step 6: Final answer
    x = 26,929.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.